{"id":"https://openalex.org/W2056661237","doi":"https://doi.org/10.1103/revmodphys.63.375","title":"Boson realizations of Lie algebras with applications to nuclear physics","display_name":"Boson realizations of Lie algebras with applications to nuclear physics","publication_year":1991,"publication_date":"1991-04-01","ids":{"openalex":"https://openalex.org/W2056661237","doi":"https://doi.org/10.1103/revmodphys.63.375","mag":"2056661237"},"language":"en","primary_location":{"id":"doi:10.1103/revmodphys.63.375","doi":"https://doi.org/10.1103/revmodphys.63.375","is_oa":false,"landing_page_url":"https://doi.org/10.1103/revmodphys.63.375","pdf_url":null,"source":{"id":"https://openalex.org/S73260565","display_name":"Reviews of Modern Physics","issn_l":"0034-6861","issn":["0034-6861","1538-4527","1539-0756"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Reviews of Modern Physics","raw_type":"journal-article"},"parent_works":[],"lineage":["https://openalex.org/W2056661237"],"child_works_count":0,"type":"article","is_traditional":true,"indexed_in":["crossref"],"open_access":{"is_oa":false,"oa_status":"closed","oa_url":null,"any_repository_has_fulltext":false},"authorships":[{"author_position":"first","author":{"id":"https://openalex.org/A5111853604","display_name":"Abraham Klein","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"Abraham Klein","raw_affiliation_strings":["Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104","institution_ids":["https://openalex.org/I79576946"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5008638440","display_name":"Eugene R. Marshalek","orcid":null,"observed_orcids":[]},"institutions":[{"id":"https://openalex.org/I107639228","display_name":"University of Notre Dame","ror":"https://ror.org/00mkhxb43","country_code":"US","type":"education","lineage":["https://openalex.org/I107639228"]},{"id":"https://openalex.org/I79576946","display_name":"University of Pennsylvania","ror":"https://ror.org/00b30xv10","country_code":"US","type":"education","lineage":["https://openalex.org/I79576946"]}],"countries":["US"],"is_corresponding":false,"raw_author_name":"E. R. Marshalek","raw_affiliation_strings":["Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104","Department of Physics; University of Notre Dame; Notre Dame Indiana 46556"],"raw_orcid":null,"affiliations":[{"raw_affiliation_string":"Department of Physics, University of Pennsylvania, Philadelphia, Pennsylvania 19104","institution_ids":["https://openalex.org/I79576946"]},{"raw_affiliation_string":"Department of Physics; University of Notre Dame; Notre Dame Indiana 46556","institution_ids":["https://openalex.org/I107639228"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":[],"corresponding_institution_ids":[],"apc_list":null,"apc_paid":null,"fwci":14.9023,"has_fulltext":false,"cited_by_count":383,"citation_normalized_percentile":{"value":0.99333667,"is_in_top_1_percent":true,"is_in_top_10_percent":true},"cited_by_percentile_year":{"min":93,"max":100},"biblio":{"volume":"63","issue":"2","first_page":"375","last_page":"558"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10093","display_name":"Nuclear physics research studies","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T10093","display_name":"Nuclear physics research studies","score":0.9916999936103821,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10224","display_name":"Quantum Chromodynamics and Particle Interactions","score":0.001500000013038516,"subfield":{"id":"https://openalex.org/subfields/3106","display_name":"Nuclear and High Energy Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":0.0005000000237487257,"subfield":{"id":"https://openalex.org/subfields/2608","display_name":"Geometry and Topology"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/collective-nuclear-motion","display_name":"nuclear collective motion","score":0.7730000019073486},{"id":"https://openalex.org/keywords/heisenberg-weyl-algebra","display_name":"Heisenberg-Weyl algebra","score":0.8830000162124634},{"id":"https://openalex.org/keywords/semisimple-lie-algebras","display_name":"semisimple Lie algebras","score":0.8450000286102295},{"id":"https://openalex.org/keywords/odd-mass-nuclei","display_name":"odd-mass nuclei","score":0.6069999933242798},{"id":"https://openalex.org/keywords/shell-model","display_name":"shell model","score":0.5170000195503235},{"id":"https://openalex.org/keywords/interacting-boson-model","display_name":"interacting boson model","score":0.996999979019165},{"id":"https://openalex.org/keywords/coupled-oscillators","display_name":"coupled oscillators","score":0.5759999752044678},{"id":"https://openalex.org/keywords/isospin","display_name":"isospin","score":0.8320000171661377}],"concepts":[{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.8163564801216125},{"id":"https://openalex.org/C79118098","wikidata":"https://www.wikidata.org/wiki/Q43101","display_name":"Boson","level":2,"score":0.5699737071990967},{"id":"https://openalex.org/C62799726","wikidata":"https://www.wikidata.org/wiki/Q190056","display_name":"Hilbert space","level":2,"score":0.5654848217964172},{"id":"https://openalex.org/C2781089630","wikidata":"https://www.wikidata.org/wiki/Q21856745","display_name":"Realization (probability)","level":2,"score":0.5540717840194702},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.5191030502319336},{"id":"https://openalex.org/C42704618","wikidata":"https://www.wikidata.org/wiki/Q910917","display_name":"Spin (aerodynamics)","level":2,"score":0.49947309494018555},{"id":"https://openalex.org/C33332235","wikidata":"https://www.wikidata.org/wiki/Q18362","display_name":"Theoretical physics","level":1,"score":0.46366408467292786},{"id":"https://openalex.org/C5106717","wikidata":"https://www.wikidata.org/wiki/Q3427416","display_name":"Fundamental representation","level":4,"score":0.4418971538543701},{"id":"https://openalex.org/C187915474","wikidata":"https://www.wikidata.org/wiki/Q622679","display_name":"Lie group","level":2,"score":0.4370495080947876},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.395053505897522},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.36163222789764404},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.2989234924316406},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.11869260668754578},{"id":"https://openalex.org/C183877218","wikidata":"https://www.wikidata.org/wiki/Q7979858","display_name":"Weight","level":3,"score":0.0},{"id":"https://openalex.org/C105795698","wikidata":"https://www.wikidata.org/wiki/Q12483","display_name":"Statistics","level":1,"score":0.0},{"id":"https://openalex.org/C97355855","wikidata":"https://www.wikidata.org/wiki/Q11473","display_name":"Thermodynamics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1103/revmodphys.63.375","doi":"https://doi.org/10.1103/revmodphys.63.375","is_oa":false,"landing_page_url":"https://doi.org/10.1103/revmodphys.63.375","pdf_url":null,"source":{"id":"https://openalex.org/S73260565","display_name":"Reviews of Modern Physics","issn_l":"0034-6861","issn":["0034-6861","1538-4527","1539-0756"],"is_oa":false,"is_in_doaj":false,"is_core":true,"listed_in":["cwts-core","dongbi-a","jufo-3","norway-2","poland-200","russia-white-list-1"],"host_organization":"https://openalex.org/P4310320261","host_organization_name":"American Physical Society","host_organization_lineage":["https://openalex.org/P4310320261"],"host_organization_lineage_names":["American Physical Society"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Reviews of Modern Physics","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"study_designs":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":526,"referenced_works":["https://openalex.org/W26723766","https://openalex.org/W44165278","https://openalex.org/W91726623","https://openalex.org/W100253791","https://openalex.org/W228825824","https://openalex.org/W247192407","https://openalex.org/W384236704","https://openalex.org/W608338616","https://openalex.org/W638851548","https://openalex.org/W966289496","https://openalex.org/W1486735022","https://openalex.org/W1492416089","https://openalex.org/W1499652954","https://openalex.org/W1502469683","https://openalex.org/W1525353860","https://openalex.org/W1526370114","https://openalex.org/W1542475302","https://openalex.org/W1551818318","https://openalex.org/W1565351166","https://openalex.org/W1580535574","https://openalex.org/W1582266838","https://openalex.org/W1583879459","https://openalex.org/W1586802549","https://openalex.org/W1589404329","https://openalex.org/W1600631548","https://openalex.org/W1602871471","https://openalex.org/W1603565288","https://openalex.org/W1610274090","https://openalex.org/W1614179860","https://openalex.org/W1618930452","https://openalex.org/W1622256762","https://openalex.org/W1622977138","https://openalex.org/W1632880945","https://openalex.org/W1638312342","https://openalex.org/W1659607632","https://openalex.org/W1661661276","https://openalex.org/W1668616959","https://openalex.org/W1963991088","https://openalex.org/W1964725133","https://openalex.org/W1965656130","https://openalex.org/W1966452955","https://openalex.org/W1967027552","https://openalex.org/W1967168867","https://openalex.org/W1967357589","https://openalex.org/W1967433745","https://openalex.org/W1967738371","https://openalex.org/W1968434609","https://openalex.org/W1969105610","https://openalex.org/W1969374626","https://openalex.org/W1969643708","https://openalex.org/W1969982724","https://openalex.org/W1970480837","https://openalex.org/W1970498422","https://openalex.org/W1970726640","https://openalex.org/W1970844138","https://openalex.org/W1970856960","https://openalex.org/W1971151444","https://openalex.org/W1971258312","https://openalex.org/W1971821412","https://openalex.org/W1971841220","https://openalex.org/W1971965178","https://openalex.org/W1972850966","https://openalex.org/W1972975423","https://openalex.org/W1973692523","https://openalex.org/W1974162730","https://openalex.org/W1974216208","https://openalex.org/W1974560516","https://openalex.org/W1975728081","https://openalex.org/W1976626789","https://openalex.org/W1977005672","https://openalex.org/W1977483082","https://openalex.org/W1977729940","https://openalex.org/W1978652497","https://openalex.org/W1978960932","https://openalex.org/W1978970438","https://openalex.org/W1979310283","https://openalex.org/W1979382329","https://openalex.org/W1979479851","https://openalex.org/W1979486897","https://openalex.org/W1979614584","https://openalex.org/W1979680387","https://openalex.org/W1979911734","https://openalex.org/W1979995920","https://openalex.org/W1980287701","https://openalex.org/W1980372978","https://openalex.org/W1980727502","https://openalex.org/W1980746249","https://openalex.org/W1981517176","https://openalex.org/W1981971787","https://openalex.org/W1981984339","https://openalex.org/W1982029567","https://openalex.org/W1983234848","https://openalex.org/W1983422692","https://openalex.org/W1983523926","https://openalex.org/W1983827168","https://openalex.org/W1983853442","https://openalex.org/W1983920366","https://openalex.org/W1984534333","https://openalex.org/W1984785606","https://openalex.org/W1985026966","https://openalex.org/W1985069375","https://openalex.org/W1985118268","https://openalex.org/W1985859061","https://openalex.org/W1985866764","https://openalex.org/W1985992280","https://openalex.org/W1986048500","https://openalex.org/W1986371781","https://openalex.org/W1986627500","https://openalex.org/W1986797192","https://openalex.org/W1987040812","https://openalex.org/W1987076761","https://openalex.org/W1987265469","https://openalex.org/W1987863865","https://openalex.org/W1987917707","https://openalex.org/W1988704597","https://openalex.org/W1989134171","https://openalex.org/W1989459198","https://openalex.org/W1990461978","https://openalex.org/W1990851753","https://openalex.org/W1991037064","https://openalex.org/W1991403807","https://openalex.org/W1991798918","https://openalex.org/W1993119308","https://openalex.org/W1993712701","https://openalex.org/W1993757271","https://openalex.org/W1994113813","https://openalex.org/W1994139143","https://openalex.org/W1994613081","https://openalex.org/W1995344878","https://openalex.org/W1995540307","https://openalex.org/W1995584823","https://openalex.org/W1995651895","https://openalex.org/W1995714655","https://openalex.org/W1996133229","https://openalex.org/W1996167148","https://openalex.org/W1996230882","https://openalex.org/W1996268950","https://openalex.org/W1996694143","https://openalex.org/W1996885030","https://openalex.org/W1997735843","https://openalex.org/W1997741930","https://openalex.org/W1997922964","https://openalex.org/W1998025963","https://openalex.org/W1998156706","https://openalex.org/W1998302103","https://openalex.org/W1998527569","https://openalex.org/W1998745282","https://openalex.org/W1999279896","https://openalex.org/W1999426002","https://openalex.org/W1999459881","https://openalex.org/W1999540095","https://openalex.org/W1999941861","https://openalex.org/W2000012898","https://openalex.org/W2000190451","https://openalex.org/W2000255278","https://openalex.org/W2000543702","https://openalex.org/W2001128368","https://openalex.org/W2001148180","https://openalex.org/W2001175803","https://openalex.org/W2001181865","https://openalex.org/W2001286547","https://openalex.org/W2001576256","https://openalex.org/W2002135821","https://openalex.org/W2002646359","https://openalex.org/W2002685992","https://openalex.org/W2003339068","https://openalex.org/W2004662084","https://openalex.org/W2004743133","https://openalex.org/W2005487971","https://openalex.org/W2005729812","https://openalex.org/W2005903281","https://openalex.org/W2006186256","https://openalex.org/W2006389842","https://openalex.org/W2006750067","https://openalex.org/W2006767350","https://openalex.org/W2006830784","https://openalex.org/W2007666846","https://openalex.org/W2007925398","https://openalex.org/W2008055634","https://openalex.org/W2008343708","https://openalex.org/W2008776773","https://openalex.org/W2008778410","https://openalex.org/W2009553389","https://openalex.org/W2011543704","https://openalex.org/W2012048852","https://openalex.org/W2012133175","https://openalex.org/W2012260307","https://openalex.org/W2012352893","https://openalex.org/W2012392691","https://openalex.org/W2012550816","https://openalex.org/W2012649990","https://openalex.org/W2012731693","https://openalex.org/W2012784824","https://openalex.org/W2012925465","https://openalex.org/W2013265692","https://openalex.org/W2013413749","https://openalex.org/W2013948528","https://openalex.org/W2014206407","https://openalex.org/W2014437371","https://openalex.org/W2014501260","https://openalex.org/W2015053943","https://openalex.org/W2015108854","https://openalex.org/W2015463267","https://openalex.org/W2016485013","https://openalex.org/W2016485548","https://openalex.org/W2016537274","https://openalex.org/W2016942209","https://openalex.org/W2017346712","https://openalex.org/W2017403771","https://openalex.org/W2018121830","https://openalex.org/W2018390434","https://openalex.org/W2018488946","https://openalex.org/W2018763953","https://openalex.org/W2019183121","https://openalex.org/W2019507892","https://openalex.org/W2019542159","https://openalex.org/W2019871900","https://openalex.org/W2019875143","https://openalex.org/W2019937592","https://openalex.org/W2020218841","https://openalex.org/W2020388320","https://openalex.org/W2020794008","https://openalex.org/W2020949556","https://openalex.org/W2021184939","https://openalex.org/W2021826929","https://openalex.org/W2021834072","https://openalex.org/W2021851405","https://openalex.org/W2022419250","https://openalex.org/W2024019739","https://openalex.org/W2024125507","https://openalex.org/W2024302688","https://openalex.org/W2025322065","https://openalex.org/W2025742942","https://openalex.org/W2026581387","https://openalex.org/W2026643597","https://openalex.org/W2026789898","https://openalex.org/W2027490224","https://openalex.org/W2028014495","https://openalex.org/W2028126856","https://openalex.org/W2028300818","https://openalex.org/W2028918990","https://openalex.org/W2029641002","https://openalex.org/W2029651369","https://openalex.org/W2029844661","https://openalex.org/W2029908347","https://openalex.org/W2030101748","https://openalex.org/W2030115657","https://openalex.org/W2030158947","https://openalex.org/W2030179053","https://openalex.org/W2030744401","https://openalex.org/W2030834123","https://openalex.org/W2031225629","https://openalex.org/W2031366173","https://openalex.org/W2031394600","https://openalex.org/W2032387703","https://openalex.org/W2033095514","https://openalex.org/W2033334109","https://openalex.org/W2033544454","https://openalex.org/W2034186294","https://openalex.org/W2034403979","https://openalex.org/W2035398458","https://openalex.org/W2035650730","https://openalex.org/W2036292075","https://openalex.org/W2036550020","https://openalex.org/W2036806885","https://openalex.org/W2038528574","https://openalex.org/W2039009939","https://openalex.org/W2040534693","https://openalex.org/W2041004067","https://openalex.org/W2041375220","https://openalex.org/W2041397776","https://openalex.org/W2041497288","https://openalex.org/W2041633566","https://openalex.org/W2041777234","https://openalex.org/W2041892687","https://openalex.org/W2042006120","https://openalex.org/W2042395747","https://openalex.org/W2042452588","https://openalex.org/W2042706756","https://openalex.org/W2042796102","https://openalex.org/W2042934213","https://openalex.org/W2043131137","https://openalex.org/W2044410943","https://openalex.org/W2045053416","https://openalex.org/W2045526840","https://openalex.org/W2045576190","https://openalex.org/W2045722256","https://openalex.org/W2045967915","https://openalex.org/W2046163652","https://openalex.org/W2046472235","https://openalex.org/W2047378498","https://openalex.org/W2047404213","https://openalex.org/W2047638349","https://openalex.org/W2048003350","https://openalex.org/W2048714978","https://openalex.org/W2048874391","https://openalex.org/W2049069149","https://openalex.org/W2049089176","https://openalex.org/W2049102595","https://openalex.org/W2049498168","https://openalex.org/W2049952468","https://openalex.org/W2050345068","https://openalex.org/W2050554040","https://openalex.org/W2050838032","https://openalex.org/W2050857078","https://openalex.org/W2051011370","https://openalex.org/W2051309240","https://openalex.org/W2051841455","https://openalex.org/W2052358799","https://openalex.org/W2053067157","https://openalex.org/W2053295076","https://openalex.org/W2053362946","https://openalex.org/W2054053885","https://openalex.org/W2054128645","https://openalex.org/W2054515065","https://openalex.org/W2054769639","https://openalex.org/W2055128585","https://openalex.org/W2055697797","https://openalex.org/W2055774868","https://openalex.org/W2056281334","https://openalex.org/W2056575424","https://openalex.org/W2057527498","https://openalex.org/W2057878288","https://openalex.org/W2058514064","https://openalex.org/W2058851633","https://openalex.org/W2059572017","https://openalex.org/W2060073898","https://openalex.org/W2060482952","https://openalex.org/W2060669385","https://openalex.org/W2060790882","https://openalex.org/W2061618250","https://openalex.org/W2062666912","https://openalex.org/W2062838303","https://openalex.org/W2063057194","https://openalex.org/W2063123540","https://openalex.org/W2063272680","https://openalex.org/W2063331169","https://openalex.org/W2063585960","https://openalex.org/W2063591058","https://openalex.org/W2063916954","https://openalex.org/W2064611624","https://openalex.org/W2064812840","https://openalex.org/W2065290952","https://openalex.org/W2065346693","https://openalex.org/W2065462888","https://openalex.org/W2065734781","https://openalex.org/W2066817930","https://openalex.org/W2067528053","https://openalex.org/W2068069367","https://openalex.org/W2068154569","https://openalex.org/W2068926874","https://openalex.org/W2069122171","https://openalex.org/W2069586153","https://openalex.org/W2069967275","https://openalex.org/W2070240842","https://openalex.org/W2070287671","https://openalex.org/W2070406409","https://openalex.org/W2070893387","https://openalex.org/W2071267133","https://openalex.org/W2071420599","https://openalex.org/W2071858397","https://openalex.org/W2071963977","https://openalex.org/W2072077708","https://openalex.org/W2072399498","https://openalex.org/W2072724791","https://openalex.org/W2072872008","https://openalex.org/W2073028968","https://openalex.org/W2073400382","https://openalex.org/W2073484882","https://openalex.org/W2073563972","https://openalex.org/W2073896331","https://openalex.org/W2073979250","https://openalex.org/W2074349069","https://openalex.org/W2074419919","https://openalex.org/W2074484578","https://openalex.org/W2075530084","https://openalex.org/W2075663773","https://openalex.org/W2076324785","https://openalex.org/W2076547165","https://openalex.org/W2076602518","https://openalex.org/W2076692937","https://openalex.org/W2076888136","https://openalex.org/W2076942387","https://openalex.org/W2077436157","https://openalex.org/W2077692008","https://openalex.org/W2077869715","https://openalex.org/W2078153873","https://openalex.org/W2078444103","https://openalex.org/W2078549421","https://openalex.org/W2078630481","https://openalex.org/W2079315824","https://openalex.org/W2079337806","https://openalex.org/W2079348564","https://openalex.org/W2079914476","https://openalex.org/W2080231723","https://openalex.org/W2080312871","https://openalex.org/W2080337067","https://openalex.org/W2080852796","https://openalex.org/W2081360037","https://openalex.org/W2081378960","https://openalex.org/W2081423030","https://openalex.org/W2081455615","https://openalex.org/W2081843267","https://openalex.org/W2081953800","https://openalex.org/W2082207345","https://openalex.org/W2082415730","https://openalex.org/W2083392578","https://openalex.org/W2083482092","https://openalex.org/W2083959877","https://openalex.org/W2084328706","https://openalex.org/W2084675647","https://openalex.org/W2084880182","https://openalex.org/W2085605410","https://openalex.org/W2085759512","https://openalex.org/W2086344799","https://openalex.org/W2086475723","https://openalex.org/W2086632020","https://openalex.org/W2087403118","https://openalex.org/W2087746441","https://openalex.org/W2088795577","https://openalex.org/W2088819084","https://openalex.org/W2088886711","https://openalex.org/W2089644622","https://openalex.org/W2089820386","https://openalex.org/W2090213220","https://openalex.org/W2090490157","https://openalex.org/W2091185045","https://openalex.org/W2091388966","https://openalex.org/W2091920229","https://openalex.org/W2092271403","https://openalex.org/W2092408241","https://openalex.org/W2092780566","https://openalex.org/W2093293726","https://openalex.org/W2093861730","https://openalex.org/W2093973200","https://openalex.org/W2094152451","https://openalex.org/W2094569935","https://openalex.org/W2095235538","https://openalex.org/W2095483080","https://openalex.org/W2101546653","https://openalex.org/W2104078576","https://openalex.org/W2105090753","https://openalex.org/W2105468218","https://openalex.org/W2106387659","https://openalex.org/W2107005709","https://openalex.org/W2107636084","https://openalex.org/W2108686056","https://openalex.org/W2113160079","https://openalex.org/W2114795069","https://openalex.org/W2115239605","https://openalex.org/W2116218499","https://openalex.org/W2116386668","https://openalex.org/W2117145355","https://openalex.org/W2117686225","https://openalex.org/W2118358122","https://openalex.org/W2123315082","https://openalex.org/W2124282315","https://openalex.org/W2125140400","https://openalex.org/W2125573129","https://openalex.org/W2126141882","https://openalex.org/W2127380150","https://openalex.org/W2129649697","https://openalex.org/W2131387493","https://openalex.org/W2132242682","https://openalex.org/W2136411141","https://openalex.org/W2136966488","https://openalex.org/W2137969811","https://openalex.org/W2138658161","https://openalex.org/W2141105415","https://openalex.org/W2142556661","https://openalex.org/W2144136725","https://openalex.org/W2145214625","https://openalex.org/W2145555901","https://openalex.org/W2148021061","https://openalex.org/W2153006672","https://openalex.org/W2153831557","https://openalex.org/W2156275002","https://openalex.org/W2156636293","https://openalex.org/W2158577570","https://openalex.org/W2160009607","https://openalex.org/W2162206985","https://openalex.org/W2164715843","https://openalex.org/W2164873198","https://openalex.org/W2165453729","https://openalex.org/W2166036481","https://openalex.org/W2166540064","https://openalex.org/W2166879645","https://openalex.org/W2170659742","https://openalex.org/W2170888022","https://openalex.org/W2172483450","https://openalex.org/W2222134589","https://openalex.org/W2225938408","https://openalex.org/W2226857920","https://openalex.org/W2312460613","https://openalex.org/W2312544580","https://openalex.org/W2315527031","https://openalex.org/W2325282144","https://openalex.org/W2334038401","https://openalex.org/W2407959988","https://openalex.org/W2480284236","https://openalex.org/W2573867634","https://openalex.org/W2597051512","https://openalex.org/W2614685031","https://openalex.org/W2782206864","https://openalex.org/W3023737268","https://openalex.org/W3043476063","https://openalex.org/W3108649769","https://openalex.org/W3121594743","https://openalex.org/W3142882841","https://openalex.org/W3143257707","https://openalex.org/W4214713224","https://openalex.org/W4229849085","https://openalex.org/W4230723022","https://openalex.org/W4233104409","https://openalex.org/W4233735495","https://openalex.org/W4236862334","https://openalex.org/W4238461877","https://openalex.org/W4241949069","https://openalex.org/W4242429489","https://openalex.org/W4243285765","https://openalex.org/W4243413804","https://openalex.org/W4244603995","https://openalex.org/W4247710409","https://openalex.org/W4251300394","https://openalex.org/W4255568020","https://openalex.org/W4299580424"],"related_works":["https://openalex.org/W4214861000","https://openalex.org/W1981517176","https://openalex.org/W4233603774","https://openalex.org/W4246620578","https://openalex.org/W2608772066","https://openalex.org/W4234839592","https://openalex.org/W1968326287","https://openalex.org/W2065462888","https://openalex.org/W284773217","https://openalex.org/W1990287560"],"abstract_inverted_index":{"The":[0,53,266],"concept":[1],"of":[2,7,20,33,39,43,50,56,96,103,116,143,164,174,178,185,191,201,217,251,269,281,285,294,306,313,333,348],"boson":[3,34,304],"realization":[4,173],"(or":[5],"mapping)":[6],"Lie":[8,180],"algebras":[9,106,153],"appeared":[10],"first":[11],"in":[12,15,24,30,127,137,140,182,289],"nuclear":[13,44,286],"physics":[14,166],"1962":[16],"as":[17],"the":[18,37,41,104,109,131,138,141,144,146,151,155,165,168,172,199,209,223,247,252,274,278,282,291,299,319,340],"idea":[19],"expanding":[21],"bilinear":[22],"forms":[23],"fermion":[25],"creation":[26],"and":[27,84,87,92,123,219,257,296,298,308,342],"annihilation":[28],"operators":[29],"Taylor":[31],"series":[32],"operators,":[35],"with":[36,318],"object":[38],"converting":[40],"study":[42,200],"vibrational":[45],"motion":[46],"into":[47,82],"a":[48,100,160,179,183,186,238],"problem":[49,170],"coupled":[51],"oscillators.":[52],"physical":[54],"situations":[55],"interest":[57,117],"are":[58,72,125,135,214,232,255,261,325,330],"quite":[59],"diverse,":[60],"depending,":[61],"for":[62,67,229,263],"instance,":[63],"on":[64,75,88,237,322],"whether":[65,89],"excitations":[66],"fixed-":[68],"or":[69,121],"variable-particle":[70],"number":[71],"being":[73],"studied,":[74],"how":[76],"total":[77],"angular":[78],"momentum":[79],"is":[80,148,171,205,235,272,316],"decomposed":[81],"orbital":[83],"spin":[85,91],"parts,":[86],"isotopic":[90],"other":[93,107,328],"intrinsic":[94],"degrees":[95],"freedom":[97],"enter.":[98],"As":[99],"consequence,":[101],"all":[102,124,222],"semisimple":[105],"than":[108],"exceptional":[110],"ones":[111],"have":[112,226],"proved":[113],"to":[114,154,207,211,273,338,344],"be":[115],"at":[118],"one":[119,197,204],"time":[120],"another,":[122],"studied":[126],"this":[128],"review.":[129],"Though":[130,221],"salient":[132],"historical":[133],"facts":[134],"presented":[136],"introduction,":[139],"body":[142],"review":[145],"progression":[147],"(generally)":[149],"from":[150,277],"simplest":[152],"more":[156,300],"complex":[157],"ones.":[158],"With":[159],"sufficiently":[161],"broad":[162],"view":[163],"requirements,":[167],"mathematical":[169],"an":[175],"arbitrary":[176],"representation":[177],"algebra":[181],"subspace":[184],"suitably":[187],"chosen":[188],"Hilbert":[189],"space":[190],"bosons":[192,218],"(Heisenberg-Weyl":[193],"algebra).":[194],"Indeed,":[195],"if":[196],"includes":[198],"odd":[202,264],"nuclei,":[203],"forced":[206],"consider":[208],"mappings":[210],"spaces":[212,216],"that":[213,225,243],"direct-product":[215],"(quasi)fermions.":[220],"methods":[224],"been":[227],"used":[228],"these":[230,270],"problems":[231],"reviewed,":[233],"emphasis":[234],"placed":[236],"relatively":[239],"new":[240,259,346],"algebraic":[241],"method":[242],"has":[244],"emerged":[245],"over":[246],"past":[248],"decade.":[249],"Many":[250],"classic":[253],"results":[254,260],"rederived,":[256],"some":[258,332,336,343],"obtained":[262],"systems.":[265],"major":[267],"application":[268],"ideas":[271],"derivation,":[275],"starting":[276],"shell":[279],"model,":[280],"phenomenological":[283],"models":[284],"collective":[287],"motion,":[288],"particular,":[290],"geometric":[292],"model":[293,305],"Bohr":[295],"Mottelson":[297],"recently":[301],"developed":[302],"interacting":[303],"Arima":[307],"Iachello.":[309],"A":[310],"critical":[311],"discussion":[312],"those":[314],"applications":[315,329],"interwoven":[317],"theoretical":[320],"developments":[321],"which":[323],"they":[324],"based;":[326],"many":[327],"included,":[331],"practical":[334],"interest,":[335],"simply":[337],"illustrate":[339],"concepts,":[341],"suggest":[345],"lines":[347],"inquiry.":[349]},"counts_by_year":[{"year":2026,"cited_by_count":7},{"year":2025,"cited_by_count":6},{"year":2024,"cited_by_count":8},{"year":2023,"cited_by_count":10},{"year":2022,"cited_by_count":7},{"year":2021,"cited_by_count":6},{"year":2020,"cited_by_count":9},{"year":2019,"cited_by_count":5},{"year":2018,"cited_by_count":9},{"year":2017,"cited_by_count":8},{"year":2016,"cited_by_count":19},{"year":2015,"cited_by_count":6},{"year":2014,"cited_by_count":2},{"year":2013,"cited_by_count":8},{"year":2012,"cited_by_count":8}],"updated_date":"2026-11-12T12:28:57.059296","created_date":"2016-06-24T00:00:00"}
