Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations
Autor(a) principal: | |
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Data de Publicação: | 2018 |
Outros Autores: | , , |
Tipo de documento: | Artigo |
Idioma: | eng |
Título da fonte: | Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
Texto Completo: | http://hdl.handle.net/10400.1/14826 |
Resumo: | The main result of this paper establishes a bijection between the set of equivalence classes of simple transitive 2-representations with a fixed apex J of a fiat 2-category C and the set of equivalence classes of faithful simple transitive 2-representations of the fiat 2-subquotient of C associated with a diagonal H-cell in J. As an application, we classify simple transitive 2-representations of various categories of Soergel bimodules, in particular, completing the classification in types B-3 and B-4. |
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Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
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7160 |
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Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations2-categoryCotensor productSimple transitive 2-representationCoalgebra 1-morphismGreen relationsThe main result of this paper establishes a bijection between the set of equivalence classes of simple transitive 2-representations with a fixed apex J of a fiat 2-category C and the set of equivalence classes of faithful simple transitive 2-representations of the fiat 2-subquotient of C associated with a diagonal H-cell in J. As an application, we classify simple transitive 2-representations of various categories of Soergel bimodules, in particular, completing the classification in types B-3 and B-4.Cambridge University PressSapientiaMackaay, MarcoMazorchuk, VolodymyrMiemietz, VanessaZhang, Xiaoting2020-11-16T11:32:32Z20182018-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/14826eng1474-748010.1017/S1474748018000555info:eu-repo/semantics/openAccessreponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãoinstacron:RCAAP2024-11-29T10:47:02Zoai:sapientia.ualg.pt:10400.1/14826Portal AgregadorONGhttps://www.rcaap.pt/oai/openairemluisa.alvim@gmail.comopendoar:71602024-11-29T10:47:02Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informaçãofalse |
dc.title.none.fl_str_mv |
Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations |
title |
Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations |
spellingShingle |
Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations Mackaay, Marco 2-category Cotensor product Simple transitive 2-representation Coalgebra 1-morphism Green relations |
title_short |
Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations |
title_full |
Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations |
title_fullStr |
Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations |
title_full_unstemmed |
Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations |
title_sort |
Analogues of centralizer subalgebras for fiat 2-categories and their 2-representations |
author |
Mackaay, Marco |
author_facet |
Mackaay, Marco Mazorchuk, Volodymyr Miemietz, Vanessa Zhang, Xiaoting |
author_role |
author |
author2 |
Mazorchuk, Volodymyr Miemietz, Vanessa Zhang, Xiaoting |
author2_role |
author author author |
dc.contributor.none.fl_str_mv |
Sapientia |
dc.contributor.author.fl_str_mv |
Mackaay, Marco Mazorchuk, Volodymyr Miemietz, Vanessa Zhang, Xiaoting |
dc.subject.por.fl_str_mv |
2-category Cotensor product Simple transitive 2-representation Coalgebra 1-morphism Green relations |
topic |
2-category Cotensor product Simple transitive 2-representation Coalgebra 1-morphism Green relations |
description |
The main result of this paper establishes a bijection between the set of equivalence classes of simple transitive 2-representations with a fixed apex J of a fiat 2-category C and the set of equivalence classes of faithful simple transitive 2-representations of the fiat 2-subquotient of C associated with a diagonal H-cell in J. As an application, we classify simple transitive 2-representations of various categories of Soergel bimodules, in particular, completing the classification in types B-3 and B-4. |
publishDate |
2018 |
dc.date.none.fl_str_mv |
2018 2018-01-01T00:00:00Z 2020-11-16T11:32:32Z |
dc.type.status.fl_str_mv |
info:eu-repo/semantics/publishedVersion |
dc.type.driver.fl_str_mv |
info:eu-repo/semantics/article |
format |
article |
status_str |
publishedVersion |
dc.identifier.uri.fl_str_mv |
http://hdl.handle.net/10400.1/14826 |
url |
http://hdl.handle.net/10400.1/14826 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
1474-7480 10.1017/S1474748018000555 |
dc.rights.driver.fl_str_mv |
info:eu-repo/semantics/openAccess |
eu_rights_str_mv |
openAccess |
dc.format.none.fl_str_mv |
application/pdf |
dc.publisher.none.fl_str_mv |
Cambridge University Press |
publisher.none.fl_str_mv |
Cambridge University Press |
dc.source.none.fl_str_mv |
reponame:Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) instname:Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação instacron:RCAAP |
instname_str |
Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
instacron_str |
RCAAP |
institution |
RCAAP |
reponame_str |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
collection |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) |
repository.name.fl_str_mv |
Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos) - Agência para a Sociedade do Conhecimento (UMIC) - FCT - Sociedade da Informação |
repository.mail.fl_str_mv |
mluisa.alvim@gmail.com |
_version_ |
1817549814929293312 |