sl(N)-web categories and categorified skew Howe duality
Autor(a) principal: | |
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Data de Publicação: | 2019 |
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/10400.1/14364 |
Resumo: | In this paper we show how the colored Khovanov-Rozansky Sl(N)-matrix factorizations, due to Wu [45] and Y.Y. [46,47], can be used to categorify the type A quantum skew Howe duality defined by Cautis, Kamnitzer and Morrison in [14]. In particular, we define Sl(N)-web categories and 2-representations of Khovanov and Lauda's categorical quantum sl(m) on them. We also show that this implies that each such web category is equivalent to the category of finite-dimensional graded projective modules over a certain type A cyclotomic KLR-algebra. (C) 2018 Elsevier B.V. All rights reserved. |
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sl(N)-web categories and categorified skew Howe dualityHighest weight categoriesKnot homologyCoherent sheavesIn this paper we show how the colored Khovanov-Rozansky Sl(N)-matrix factorizations, due to Wu [45] and Y.Y. [46,47], can be used to categorify the type A quantum skew Howe duality defined by Cautis, Kamnitzer and Morrison in [14]. In particular, we define Sl(N)-web categories and 2-representations of Khovanov and Lauda's categorical quantum sl(m) on them. We also show that this implies that each such web category is equivalent to the category of finite-dimensional graded projective modules over a certain type A cyclotomic KLR-algebra. (C) 2018 Elsevier B.V. All rights reserved.FCT - Fundacao para a Ciencia e a TecnologiaPortuguese Foundation for Science and Technology [PTDC/MAT/101503/2008]New Geometry and TopologyElsevier Science BvSapientiaMackaay, MarcoYonezawa, Yasuyoshi2020-07-24T10:52:28Z2019-052019-05-01T00:00:00Zinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleapplication/pdfhttp://hdl.handle.net/10400.1/14364eng0022-404910.1016/j.jpaa.2018.07.013info: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:RCAAP2023-07-24T10:26:39Zoai:sapientia.ualg.pt:10400.1/14364Portal AgregadorONGhttps://www.rcaap.pt/oai/openaireopendoar:71602024-03-19T20:05:22.832856Repositório 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 |
sl(N)-web categories and categorified skew Howe duality |
title |
sl(N)-web categories and categorified skew Howe duality |
spellingShingle |
sl(N)-web categories and categorified skew Howe duality Mackaay, Marco Highest weight categories Knot homology Coherent sheaves |
title_short |
sl(N)-web categories and categorified skew Howe duality |
title_full |
sl(N)-web categories and categorified skew Howe duality |
title_fullStr |
sl(N)-web categories and categorified skew Howe duality |
title_full_unstemmed |
sl(N)-web categories and categorified skew Howe duality |
title_sort |
sl(N)-web categories and categorified skew Howe duality |
author |
Mackaay, Marco |
author_facet |
Mackaay, Marco Yonezawa, Yasuyoshi |
author_role |
author |
author2 |
Yonezawa, Yasuyoshi |
author2_role |
author |
dc.contributor.none.fl_str_mv |
Sapientia |
dc.contributor.author.fl_str_mv |
Mackaay, Marco Yonezawa, Yasuyoshi |
dc.subject.por.fl_str_mv |
Highest weight categories Knot homology Coherent sheaves |
topic |
Highest weight categories Knot homology Coherent sheaves |
description |
In this paper we show how the colored Khovanov-Rozansky Sl(N)-matrix factorizations, due to Wu [45] and Y.Y. [46,47], can be used to categorify the type A quantum skew Howe duality defined by Cautis, Kamnitzer and Morrison in [14]. In particular, we define Sl(N)-web categories and 2-representations of Khovanov and Lauda's categorical quantum sl(m) on them. We also show that this implies that each such web category is equivalent to the category of finite-dimensional graded projective modules over a certain type A cyclotomic KLR-algebra. (C) 2018 Elsevier B.V. All rights reserved. |
publishDate |
2019 |
dc.date.none.fl_str_mv |
2019-05 2019-05-01T00:00:00Z 2020-07-24T10:52:28Z |
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/10400.1/14364 |
url |
http://hdl.handle.net/10400.1/14364 |
dc.language.iso.fl_str_mv |
eng |
language |
eng |
dc.relation.none.fl_str_mv |
0022-4049 10.1016/j.jpaa.2018.07.013 |
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 |
Elsevier Science Bv |
publisher.none.fl_str_mv |
Elsevier Science Bv |
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 |
|
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1799133294038614016 |