{"id":"https://openalex.org/W2809978723","doi":"https://doi.org/10.1142/s0218196718500492","title":"The nilpotence degree of quantum Lie nilpotent algebras","display_name":"The nilpotence degree of quantum Lie nilpotent algebras","publication_year":2018,"publication_date":"2018-06-26","ids":{"openalex":"https://openalex.org/W2809978723","doi":"https://doi.org/10.1142/s0218196718500492","mag":"2809978723"},"language":"en","primary_location":{"id":"doi:10.1142/s0218196718500492","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196718500492","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/A5067784102","display_name":"E. A. Kireeva","orcid":null},"institutions":[{"id":"https://openalex.org/I177537411","display_name":"Bauman Moscow State Technical University","ror":"https://ror.org/00pb8h375","country_code":"RU","type":"education","lineage":["https://openalex.org/I177537411"]}],"countries":["RU"],"is_corresponding":true,"raw_author_name":"Elena Kireeva","raw_affiliation_strings":["Bauman Moscow State Technical University, ul. Baumanskaya 2-ya, 5/1, Moscow, 105005, Russia"],"affiliations":[{"raw_affiliation_string":"Bauman Moscow State Technical University, ul. Baumanskaya 2-ya, 5/1, Moscow, 105005, Russia","institution_ids":["https://openalex.org/I177537411"]}]},{"author_position":"last","author":{"id":"https://openalex.org/A5056322461","display_name":"Vladimir Shchigolev","orcid":"https://orcid.org/0000-0001-9590-3330"},"institutions":[{"id":"https://openalex.org/I211738395","display_name":"Financial University","ror":"https://ror.org/01hnrbb29","country_code":"RU","type":"education","lineage":["https://openalex.org/I211738395"]}],"countries":["RU"],"is_corresponding":false,"raw_author_name":"Vladimir Shchigolev","raw_affiliation_strings":["Financial University Under the Government of the Russian Federation, Leningradsky Prospekt 49, Moscow, 125993, Russia"],"affiliations":[{"raw_affiliation_string":"Financial University Under the Government of the Russian Federation, Leningradsky Prospekt 49, Moscow, 125993, Russia","institution_ids":["https://openalex.org/I211738395"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":2,"corresponding_author_ids":["https://openalex.org/A5067784102"],"corresponding_institution_ids":["https://openalex.org/I177537411"],"apc_list":null,"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":0,"citation_normalized_percentile":{"value":0.16063676,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":null,"biblio":{"volume":"28","issue":"06","first_page":"1119","last_page":"1128"},"is_retracted":false,"is_paratext":false,"is_xpac":false,"primary_topic":{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":1.0,"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"}},"topics":[{"id":"https://openalex.org/T10287","display_name":"Algebraic structures and combinatorial models","score":1.0,"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/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/T10248","display_name":"Nonlinear Waves and Solitons","score":0.9973000288009644,"subfield":{"id":"https://openalex.org/subfields/3109","display_name":"Statistical and Nonlinear Physics"},"field":{"id":"https://openalex.org/fields/31","display_name":"Physics and Astronomy"},"domain":{"id":"https://openalex.org/domains/3","display_name":"Physical Sciences"}}],"keywords":[{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.899706244468689},{"id":"https://openalex.org/keywords/commutator","display_name":"Commutator","score":0.8772828578948975},{"id":"https://openalex.org/keywords/nilpotent","display_name":"Nilpotent","score":0.696861207485199},{"id":"https://openalex.org/keywords/degree","display_name":"Degree (music)","score":0.6477651596069336},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6084009408950806},{"id":"https://openalex.org/keywords/invertible-matrix","display_name":"Invertible matrix","score":0.6067999601364136},{"id":"https://openalex.org/keywords/associative-property","display_name":"Associative property","score":0.5468425750732422},{"id":"https://openalex.org/keywords/lie-algebra","display_name":"Lie algebra","score":0.47136035561561584},{"id":"https://openalex.org/keywords/quantum","display_name":"Quantum","score":0.4679051339626312},{"id":"https://openalex.org/keywords/element","display_name":"Element (criminal law)","score":0.4484977424144745},{"id":"https://openalex.org/keywords/field","display_name":"Field (mathematics)","score":0.4296151399612427},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3688667118549347},{"id":"https://openalex.org/keywords/lie-conformal-algebra","display_name":"Lie conformal algebra","score":0.2196803092956543}],"concepts":[{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.899706244468689},{"id":"https://openalex.org/C145620117","wikidata":"https://www.wikidata.org/wiki/Q2989763","display_name":"Commutator","level":4,"score":0.8772828578948975},{"id":"https://openalex.org/C50555996","wikidata":"https://www.wikidata.org/wiki/Q840023","display_name":"Nilpotent","level":2,"score":0.696861207485199},{"id":"https://openalex.org/C2775997480","wikidata":"https://www.wikidata.org/wiki/Q586277","display_name":"Degree (music)","level":2,"score":0.6477651596069336},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6084009408950806},{"id":"https://openalex.org/C96442724","wikidata":"https://www.wikidata.org/wiki/Q242188","display_name":"Invertible matrix","level":2,"score":0.6067999601364136},{"id":"https://openalex.org/C159423971","wikidata":"https://www.wikidata.org/wiki/Q177251","display_name":"Associative property","level":2,"score":0.5468425750732422},{"id":"https://openalex.org/C51568863","wikidata":"https://www.wikidata.org/wiki/Q664495","display_name":"Lie algebra","level":2,"score":0.47136035561561584},{"id":"https://openalex.org/C84114770","wikidata":"https://www.wikidata.org/wiki/Q46344","display_name":"Quantum","level":2,"score":0.4679051339626312},{"id":"https://openalex.org/C200288055","wikidata":"https://www.wikidata.org/wiki/Q2621792","display_name":"Element (criminal law)","level":2,"score":0.4484977424144745},{"id":"https://openalex.org/C9652623","wikidata":"https://www.wikidata.org/wiki/Q190109","display_name":"Field (mathematics)","level":2,"score":0.4296151399612427},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3688667118549347},{"id":"https://openalex.org/C73648015","wikidata":"https://www.wikidata.org/wiki/Q6543817","display_name":"Lie conformal algebra","level":3,"score":0.2196803092956543},{"id":"https://openalex.org/C121332964","wikidata":"https://www.wikidata.org/wiki/Q413","display_name":"Physics","level":0,"score":0.0},{"id":"https://openalex.org/C17744445","wikidata":"https://www.wikidata.org/wiki/Q36442","display_name":"Political science","level":0,"score":0.0},{"id":"https://openalex.org/C62520636","wikidata":"https://www.wikidata.org/wiki/Q944","display_name":"Quantum mechanics","level":1,"score":0.0},{"id":"https://openalex.org/C24890656","wikidata":"https://www.wikidata.org/wiki/Q82811","display_name":"Acoustics","level":1,"score":0.0},{"id":"https://openalex.org/C199539241","wikidata":"https://www.wikidata.org/wiki/Q7748","display_name":"Law","level":1,"score":0.0}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1142/s0218196718500492","is_oa":false,"landing_page_url":"https://doi.org/10.1142/s0218196718500492","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":[{"id":"https://metadata.un.org/sdg/10","score":0.49000000953674316,"display_name":"Reduced inequalities"}],"awards":[],"funders":[],"has_content":{"pdf":false,"grobid_xml":false},"content_urls":null,"referenced_works_count":3,"referenced_works":["https://openalex.org/W2051625635","https://openalex.org/W2116870865","https://openalex.org/W2565568239"],"related_works":["https://openalex.org/W2952098768","https://openalex.org/W1965669125","https://openalex.org/W2980172634","https://openalex.org/W1591975429","https://openalex.org/W2885278120","https://openalex.org/W2496384286","https://openalex.org/W2465297585","https://openalex.org/W2075040727","https://openalex.org/W2469271198","https://openalex.org/W4296948490"],"abstract_inverted_index":{"We":[0],"consider":[1],"the":[2,6,20,30,41],"quantum":[3],"analog":[4],"of":[5,19,33,40],"Lie":[7],"commutator":[8],"[Formula:":[9,16,43],"see":[10,17,44],"text]":[11,18],"for":[12,29],"an":[13,34,38],"invertible":[14],"element":[15],"ground":[21],"field":[22],"and":[23,26],"prove":[24],"lower":[25],"upper":[27],"bounds":[28],"nilpotence":[31],"degree":[32],"associative":[35],"algebra":[36],"satisfying":[37],"identity":[39],"form":[42],"text].":[45]},"counts_by_year":[],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2025-10-10T00:00:00"}
