{"id":"https://openalex.org/W2090933328","doi":"https://doi.org/10.1142/s021819670800469x","title":"GRADED POLYNOMIAL IDENTITIES FOR THE LIE ALGEBRA sl<sub>2</sub>(K)","display_name":"GRADED POLYNOMIAL IDENTITIES FOR THE LIE ALGEBRA sl<sub>2</sub>(K)","publication_year":2008,"publication_date":"2008-08-01","ids":{"openalex":"https://openalex.org/W2090933328","doi":"https://doi.org/10.1142/s021819670800469x","mag":"2090933328"},"language":"en","primary_location":{"id":"doi:10.1142/s021819670800469x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819670800469x","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"},"type":"article","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/A5065339645","display_name":"Plamen Koshlukov","orcid":"https://orcid.org/0000-0002-1819-0100"},"institutions":[{"id":"https://openalex.org/I181391015","display_name":"Universidade Estadual de Campinas (UNICAMP)","ror":"https://ror.org/04wffgt70","country_code":"BR","type":"education","lineage":["https://openalex.org/I181391015"]}],"countries":["BR"],"is_corresponding":true,"raw_author_name":"PLAMEN KOSHLUKOV","raw_affiliation_strings":["IMECC, UNICAMP, Cx. P. 6065, 13083-970 Campinas, SP, Brazil"],"affiliations":[{"raw_affiliation_string":"IMECC, UNICAMP, Cx. P. 6065, 13083-970 Campinas, SP, Brazil","institution_ids":["https://openalex.org/I181391015"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5065339645"],"corresponding_institution_ids":["https://openalex.org/I181391015"],"apc_list":null,"apc_paid":null,"fwci":0.5417,"has_fulltext":false,"cited_by_count":26,"citation_normalized_percentile":{"value":0.65629942,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":89,"max":98},"biblio":{"volume":"18","issue":"05","first_page":"825","last_page":"836"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},"topics":[{"id":"https://openalex.org/T11673","display_name":"Advanced Topics in Algebra","score":0.9998000264167786,"subfield":{"id":"https://openalex.org/subfields/2602","display_name":"Algebra and Number Theory"},"field":{"id":"https://openalex.org/fields/26","display_name":"Mathematics"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}},{"id":"https://openalex.org/T12396","display_name":"Advanced Differential Equations and Dynamical Systems","score":0.9934999942779541,"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"}},{"id":"https://openalex.org/T11680","display_name":"Advanced Algebra and Geometry","score":0.9922000169754028,"subfield":{"id":"https://openalex.org/subfields/2610","display_name":"Mathematical Physics"},"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/mathematics","display_name":"Mathematics","score":0.9157373905181885},{"id":"https://openalex.org/keywords/graded-lie-algebra","display_name":"Graded Lie algebra","score":0.49522319436073303},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.47980764508247375},{"id":"https://openalex.org/keywords/polynomial","display_name":"Polynomial","score":0.4697563648223877},{"id":"https://openalex.org/keywords/exterior-algebra","display_name":"Exterior algebra","score":0.4679015576839447},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.4559735059738159},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.4291532039642334},{"id":"https://openalex.org/keywords/invariant","display_name":"Invariant (physics)","score":0.42872360348701477},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.3959682583808899},{"id":"https://openalex.org/keywords/discrete-mathematics","display_name":"Discrete mathematics","score":0.3440432548522949},{"id":"https://openalex.org/keywords/mathematical-analysis","display_name":"Mathematical analysis","score":0.10059836506843567}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.9157373905181885},{"id":"https://openalex.org/C144091092","wikidata":"https://www.wikidata.org/wiki/Q3611543","display_name":"Graded Lie algebra","level":3,"score":0.49522319436073303},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.47980764508247375},{"id":"https://openalex.org/C90119067","wikidata":"https://www.wikidata.org/wiki/Q43260","display_name":"Polynomial","level":2,"score":0.4697563648223877},{"id":"https://openalex.org/C94863793","wikidata":"https://www.wikidata.org/wiki/Q1196652","display_name":"Exterior algebra","level":3,"score":0.4679015576839447},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.4559735059738159},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.4291532039642334},{"id":"https://openalex.org/C190470478","wikidata":"https://www.wikidata.org/wiki/Q2370229","display_name":"Invariant (physics)","level":2,"score":0.42872360348701477},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.3959682583808899},{"id":"https://openalex.org/C118615104","wikidata":"https://www.wikidata.org/wiki/Q121416","display_name":"Discrete mathematics","level":1,"score":0.3440432548522949},{"id":"https://openalex.org/C134306372","wikidata":"https://www.wikidata.org/wiki/Q7754","display_name":"Mathematical analysis","level":1,"score":0.10059836506843567},{"id":"https://openalex.org/C37914503","wikidata":"https://www.wikidata.org/wiki/Q156495","display_name":"Mathematical physics","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s021819670800469x","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s021819670800469x","pdf_url":null,"source":{"id":"https://openalex.org/S23260266","display_name":"International Journal of Algebra and Computation","issn_l":"0218-1967","issn":["0218-1967","1793-6500"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319815","host_organization_name":"World Scientific","host_organization_lineage":["https://openalex.org/P4310319815"],"host_organization_lineage_names":["World Scientific"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"International Journal of Algebra and Computation","raw_type":"journal-article"}],"best_oa_location":null,"sustainable_development_goals":[],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":12,"referenced_works":["https://openalex.org/W1574749309","https://openalex.org/W1964905540","https://openalex.org/W1991023118","https://openalex.org/W2038167763","https://openalex.org/W2038490070","https://openalex.org/W2050291985","https://openalex.org/W2079664144","https://openalex.org/W2093442783","https://openalex.org/W2104686641","https://openalex.org/W2766433385","https://openalex.org/W4230221982","https://openalex.org/W4248632564"],"related_works":["https://openalex.org/W4379986470","https://openalex.org/W2201983628","https://openalex.org/W2002603391","https://openalex.org/W1569557269","https://openalex.org/W1510888177","https://openalex.org/W2460513362","https://openalex.org/W1986434584","https://openalex.org/W1539188917","https://openalex.org/W2037832882","https://openalex.org/W4297824782"],"abstract_inverted_index":{"The":[0],"Lie":[1],"algebra":[2],"sl":[3,83],"2":[4,16,84,93,96],"(K)":[5,85],"over":[6],"a":[7,11,47,72],"field":[8,36],"K":[9],"has":[10],"natural":[12],"grading":[13,32],"by":[14,87,99],"\u2124":[15,92,95],",":[17,97],"the":[18,26,34,79,100],"cyclic":[19],"group":[20],"of":[21,40,49,54,78],"order":[22,58],"2.":[23,44],"We":[24,45],"describe":[25],"graded":[27,80,86],"polynomial":[28],"identities":[29,51,81],"for":[30,82],"this":[31,61],"when":[33],"base":[35],"is":[37],"infinite":[38],"and":[39,66,98],"characteristic":[41],"different":[42],"from":[43,68],"exhibit":[46],"basis":[48,62],"these":[50],"that":[52],"consists":[53],"one":[55],"polynomial.":[56],"In":[57],"to":[59],"obtain":[60,75],"we":[63,74],"employ":[64],"methods":[65],"results":[67],"Invariant":[69],"theory.":[70],"As":[71],"by-product":[73],"finite":[76],"bases":[77],"other":[88],"groups":[89],"such":[90],"as":[91],"\u00d7":[94],"integers":[101],"\u2124.":[102]},"counts_by_year":[{"year":2025,"cited_by_count":2},{"year":2024,"cited_by_count":1},{"year":2023,"cited_by_count":2},{"year":2021,"cited_by_count":4},{"year":2020,"cited_by_count":2},{"year":2017,"cited_by_count":2},{"year":2016,"cited_by_count":3},{"year":2015,"cited_by_count":1},{"year":2014,"cited_by_count":3},{"year":2013,"cited_by_count":4},{"year":2012,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}