Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n, r) for 3 <= r < n

Detalhes bibliográficos
Autor(a) principal: Mackaay, Marco
Data de Publicação: 2017
Outros Autores: Thiel, Anne-Laure
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Científico de Acesso Aberto de Portugal (Repositórios Cientìficos)
Texto Completo: http://hdl.handle.net/10400.1/13344
Resumo: We categorify the extended affine Hecke algebra and the affine quantum Schur algebra S(n, r) for 3 <= r < n, using results on diagrammatic categorification in affine type A by Elias-Williamson, that extend the work of Elias-Khovanov for finite type A, and Khovanov-Lauda respectively. We also define 2-representations of these categorifications on an extension of the 2-category of affine (singular) Soergel bimodules. These results are the affine analogue of the results in [28].
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spelling Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n, r) for 3 <= r < nRepresentationsWe categorify the extended affine Hecke algebra and the affine quantum Schur algebra S(n, r) for 3 <= r < n, using results on diagrammatic categorification in affine type A by Elias-Williamson, that extend the work of Elias-Khovanov for finite type A, and Khovanov-Lauda respectively. We also define 2-representations of these categorifications on an extension of the 2-category of affine (singular) Soergel bimodules. These results are the affine analogue of the results in [28].FCT-Fundacao para a Ciencia e a Tecnologia [PTDC/MAT/101503/2008]New Geometry and TopologyEuropean Mathematical SocSapientiaMackaay, MarcoThiel, Anne-Laure2019-11-20T15:08:04Z20172017-01-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/13344eng1663-487X10.4171/QT/88info: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:RCAAP2023-07-24T10:25:26Zoai:sapientia.ualg.pt:10400.1/13344Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:04:30.149607Repositório 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 Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n, r) for 3 <= r < n
title Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n, r) for 3 <= r < n
spellingShingle Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n, r) for 3 <= r < n
Mackaay, Marco
Representations
title_short Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n, r) for 3 <= r < n
title_full Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n, r) for 3 <= r < n
title_fullStr Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n, r) for 3 <= r < n
title_full_unstemmed Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n, r) for 3 <= r < n
title_sort Categorifications of the extended affine Hecke algebra and the affine q-Schur algebra S(n, r) for 3 <= r < n
author Mackaay, Marco
author_facet Mackaay, Marco
Thiel, Anne-Laure
author_role author
author2 Thiel, Anne-Laure
author2_role author
dc.contributor.none.fl_str_mv Sapientia
dc.contributor.author.fl_str_mv Mackaay, Marco
Thiel, Anne-Laure
dc.subject.por.fl_str_mv Representations
topic Representations
description We categorify the extended affine Hecke algebra and the affine quantum Schur algebra S(n, r) for 3 <= r < n, using results on diagrammatic categorification in affine type A by Elias-Williamson, that extend the work of Elias-Khovanov for finite type A, and Khovanov-Lauda respectively. We also define 2-representations of these categorifications on an extension of the 2-category of affine (singular) Soergel bimodules. These results are the affine analogue of the results in [28].
publishDate 2017
dc.date.none.fl_str_mv 2017
2017-01-01T00:00:00Z
2019-11-20T15:08:04Z
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/10400.1/13344
url http://hdl.handle.net/10400.1/13344
dc.language.iso.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv 1663-487X
10.4171/QT/88
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
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dc.publisher.none.fl_str_mv European Mathematical Soc
publisher.none.fl_str_mv European Mathematical Soc
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
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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
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