{"id":"https://openalex.org/W1967457675","doi":"https://doi.org/10.1023/a:1016399419658","title":"The Triangulated Hopf Category n+SL(2)","display_name":"The Triangulated Hopf Category n+SL(2)","publication_year":2002,"publication_date":"2002-08-01","ids":{"openalex":"https://openalex.org/W1967457675","doi":"https://doi.org/10.1023/a:1016399419658","mag":"1967457675"},"language":"en","primary_location":{"id":"doi:10.1023/a:1016399419658","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1016399419658","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","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/A5027720757","display_name":"Volodymyr Lyubashenko","orcid":"https://orcid.org/0000-0002-3480-1514"},"institutions":[{"id":"https://openalex.org/I149851306","display_name":"National Academy of Sciences of Ukraine","ror":"https://ror.org/00je4t102","country_code":"UA","type":"funder","lineage":["https://openalex.org/I149851306"]},{"id":"https://openalex.org/I190444043","display_name":"Institute of Mathematics","ror":"https://ror.org/04q3mp532","country_code":"UA","type":"facility","lineage":["https://openalex.org/I149851306","https://openalex.org/I190444043"]}],"countries":["UA"],"is_corresponding":true,"raw_author_name":"Volodymyr Lyubashenko","raw_affiliation_strings":["Institute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereshchenkivska st., Kiev-4, 01601, Ukraine","Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev-4, Ukraine"],"affiliations":[{"raw_affiliation_string":"Institute of Mathematics, National Academy of Sciences of Ukraine, 3, Tereshchenkivska st., Kiev-4, 01601, Ukraine","institution_ids":["https://openalex.org/I190444043"]},{"raw_affiliation_string":"Institute of Mathematics, National Academy of Sciences of Ukraine, Kiev-4, Ukraine","institution_ids":["https://openalex.org/I190444043","https://openalex.org/I149851306"]}]}],"institutions":[],"countries_distinct_count":1,"institutions_distinct_count":1,"corresponding_author_ids":["https://openalex.org/A5027720757"],"corresponding_institution_ids":["https://openalex.org/I149851306","https://openalex.org/I190444043"],"apc_list":{"value":2390,"currency":"EUR","value_usd":2990},"apc_paid":null,"fwci":0.0,"has_fulltext":false,"cited_by_count":1,"citation_normalized_percentile":{"value":0.10278701,"is_in_top_1_percent":false,"is_in_top_10_percent":false},"cited_by_percentile_year":{"min":90,"max":94},"biblio":{"volume":"10","issue":"4","first_page":"331","last_page":"381"},"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":0.9995999932289124,"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":0.9993000030517578,"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/equivariant-map","display_name":"Equivariant map","score":0.7739684581756592},{"id":"https://openalex.org/keywords/mathematics","display_name":"Mathematics","score":0.7729185819625854},{"id":"https://openalex.org/keywords/functor","display_name":"Functor","score":0.6972061991691589},{"id":"https://openalex.org/keywords/pure-mathematics","display_name":"Pure mathematics","score":0.6590561866760254},{"id":"https://openalex.org/keywords/hopf-algebra","display_name":"Hopf algebra","score":0.5902928709983826},{"id":"https://openalex.org/keywords/enriched-category","display_name":"Enriched category","score":0.5626799464225769},{"id":"https://openalex.org/keywords/closed-category","display_name":"Closed category","score":0.5006253719329834},{"id":"https://openalex.org/keywords/monoidal-category","display_name":"Monoidal category","score":0.48389944434165955},{"id":"https://openalex.org/keywords/category-theory","display_name":"Category theory","score":0.48226481676101685},{"id":"https://openalex.org/keywords/multiplication","display_name":"Multiplication (music)","score":0.43351370096206665},{"id":"https://openalex.org/keywords/concrete-category","display_name":"Concrete category","score":0.4320528507232666},{"id":"https://openalex.org/keywords/derived-category","display_name":"Derived category","score":0.41924339532852173},{"id":"https://openalex.org/keywords/algebra-over-a-field","display_name":"Algebra over a field","score":0.3430190682411194},{"id":"https://openalex.org/keywords/combinatorics","display_name":"Combinatorics","score":0.18483158946037292}],"concepts":[{"id":"https://openalex.org/C171036898","wikidata":"https://www.wikidata.org/wiki/Q256355","display_name":"Equivariant map","level":2,"score":0.7739684581756592},{"id":"https://openalex.org/C33923547","wikidata":"https://www.wikidata.org/wiki/Q395","display_name":"Mathematics","level":0,"score":0.7729185819625854},{"id":"https://openalex.org/C156772000","wikidata":"https://www.wikidata.org/wiki/Q864475","display_name":"Functor","level":2,"score":0.6972061991691589},{"id":"https://openalex.org/C202444582","wikidata":"https://www.wikidata.org/wiki/Q837863","display_name":"Pure mathematics","level":1,"score":0.6590561866760254},{"id":"https://openalex.org/C29712632","wikidata":"https://www.wikidata.org/wiki/Q1627597","display_name":"Hopf algebra","level":3,"score":0.5902928709983826},{"id":"https://openalex.org/C156163052","wikidata":"https://www.wikidata.org/wiki/Q5379515","display_name":"Enriched category","level":3,"score":0.5626799464225769},{"id":"https://openalex.org/C7879355","wikidata":"https://www.wikidata.org/wiki/Q5135329","display_name":"Closed category","level":3,"score":0.5006253719329834},{"id":"https://openalex.org/C2779904274","wikidata":"https://www.wikidata.org/wiki/Q1945014","display_name":"Monoidal category","level":2,"score":0.48389944434165955},{"id":"https://openalex.org/C54884031","wikidata":"https://www.wikidata.org/wiki/Q217413","display_name":"Category theory","level":2,"score":0.48226481676101685},{"id":"https://openalex.org/C2780595030","wikidata":"https://www.wikidata.org/wiki/Q3860309","display_name":"Multiplication (music)","level":2,"score":0.43351370096206665},{"id":"https://openalex.org/C128520899","wikidata":"https://www.wikidata.org/wiki/Q1575634","display_name":"Concrete category","level":3,"score":0.4320528507232666},{"id":"https://openalex.org/C109593458","wikidata":"https://www.wikidata.org/wiki/Q5262626","display_name":"Derived category","level":3,"score":0.41924339532852173},{"id":"https://openalex.org/C136119220","wikidata":"https://www.wikidata.org/wiki/Q1000660","display_name":"Algebra over a field","level":2,"score":0.3430190682411194},{"id":"https://openalex.org/C114614502","wikidata":"https://www.wikidata.org/wiki/Q76592","display_name":"Combinatorics","level":1,"score":0.18483158946037292}],"mesh":[],"locations_count":1,"locations":[{"id":"doi:10.1023/a:1016399419658","is_oa":false,"landing_page_url":"https://doi.org/10.1023/a:1016399419658","pdf_url":null,"source":{"id":"https://openalex.org/S148906134","display_name":"Applied Categorical Structures","issn_l":"0927-2852","issn":["0927-2852","1572-9095"],"is_oa":false,"is_in_doaj":false,"is_core":true,"host_organization":"https://openalex.org/P4310319900","host_organization_name":"Springer Science+Business Media","host_organization_lineage":["https://openalex.org/P4310319900","https://openalex.org/P4310319965"],"host_organization_lineage_names":["Springer Science+Business Media","Springer Nature"],"type":"journal"},"license":null,"license_id":null,"version":"publishedVersion","is_accepted":true,"is_published":true,"raw_source_name":"Applied Categorical Structures","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":9,"referenced_works":["https://openalex.org/W421917546","https://openalex.org/W1522759831","https://openalex.org/W1539091812","https://openalex.org/W1987548913","https://openalex.org/W2003831528","https://openalex.org/W2019945912","https://openalex.org/W2123877559","https://openalex.org/W3100201119","https://openalex.org/W4210579387"],"related_works":["https://openalex.org/W654785994","https://openalex.org/W2072617459","https://openalex.org/W4293377261","https://openalex.org/W2488035445","https://openalex.org/W2541745900","https://openalex.org/W4301738425","https://openalex.org/W2613438777","https://openalex.org/W1672213790","https://openalex.org/W4307323619","https://openalex.org/W4225900450"],"abstract_inverted_index":null,"counts_by_year":[{"year":2016,"cited_by_count":1}],"updated_date":"2025-11-06T03:46:38.306776","created_date":"2016-06-24T00:00:00"}