Tilting Modules in Truncated Categories

Detalhes bibliográficos
Autor(a) principal: Bennett, Matthew
Data de Publicação: 2014
Outros Autores: Bianchi, Angelo [UNIFESP]
Tipo de documento: Artigo
Idioma: eng
Título da fonte: Repositório Institucional da UNIFESP
Texto Completo: http://repositorio.unifesp.br/handle/11600/37185
http://dx.doi.org/10.3842/SIGMA.2014.030
Resumo: We begin the study of a tilting theory in certain truncated categories of modules G(Gamma) for the current Lie algebra associated to a finite-dimensional complex simple Lie algebra, where Gamma = P+ x J, J is an interval in Z, and P+ is the set of dominant integral weights of the simple Lie algebra. We use this to put a tilting theory on the category G(Gamma') where Gamma' = P' x J, where P' subset of P+ is saturated. Under certain natural conditions on Gamma', we note that G(Gamma') admits full tilting modules.
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spelling Bennett, MatthewBianchi, Angelo [UNIFESP]Universidade Estadual de Campinas (UNICAMP)Universidade Federal de São Paulo (UNIFESP)2016-01-24T14:35:00Z2016-01-24T14:35:00Z2014-01-01Symmetry Integrability and Geometry-methods and Applications. Kyiv 4: Natl Acad Sci Ukraine, Inst Math, v. 10, 24 p., 2014.1815-0659http://repositorio.unifesp.br/handle/11600/37185http://dx.doi.org/10.3842/SIGMA.2014.030WOS000334593600001.pdf10.3842/SIGMA.2014.030WOS:000334593600001We begin the study of a tilting theory in certain truncated categories of modules G(Gamma) for the current Lie algebra associated to a finite-dimensional complex simple Lie algebra, where Gamma = P+ x J, J is an interval in Z, and P+ is the set of dominant integral weights of the simple Lie algebra. We use this to put a tilting theory on the category G(Gamma') where Gamma' = P' x J, where P' subset of P+ is saturated. Under certain natural conditions on Gamma', we note that G(Gamma') admits full tilting modules.Fundação de Amparo à Pesquisa do Estado de São Paulo (FAPESP)Univ Estadual Campinas, Dept Math, Campinas, BrazilUniversidade Federal de São Paulo, Inst Sci & Technol, São Paulo, BrazilUniversidade Federal de São Paulo, Inst Sci & Technol, São Paulo, BrazilFAPESP: 2012/06923-0FAPESP: 2011/22322-4Web of Science24engNatl Acad Sci Ukraine, Inst MathSymmetry Integrability and Geometry-methods and Applicationscurrent algebratilting moduleSerre subcategoryTilting Modules in Truncated Categoriesinfo:eu-repo/semantics/publishedVersioninfo:eu-repo/semantics/articleinfo:eu-repo/semantics/openAccessreponame:Repositório Institucional da UNIFESPinstname:Universidade Federal de São Paulo (UNIFESP)instacron:UNIFESPORIGINALWOS000334593600001.pdfapplication/pdf495167${dspace.ui.url}/bitstream/11600/37185/1/WOS000334593600001.pdfa82ee58a3263f66e3a068c94fbf82692MD51open accessTEXTWOS000334593600001.pdf.txtWOS000334593600001.pdf.txtExtracted texttext/plain66824${dspace.ui.url}/bitstream/11600/37185/9/WOS000334593600001.pdf.txt0a13d2a1edc0d49074280ceec78fa93cMD59open accessTHUMBNAILWOS000334593600001.pdf.jpgWOS000334593600001.pdf.jpgIM Thumbnailimage/jpeg6846${dspace.ui.url}/bitstream/11600/37185/11/WOS000334593600001.pdf.jpgc2013964bcf7580ac005f04637dcddc1MD511open access11600/371852023-06-05 19:07:07.512open accessoai:repositorio.unifesp.br:11600/37185Repositório InstitucionalPUBhttp://www.repositorio.unifesp.br/oai/requestopendoar:34652023-06-05T22:07:07Repositório Institucional da UNIFESP - Universidade Federal de São Paulo (UNIFESP)false
dc.title.en.fl_str_mv Tilting Modules in Truncated Categories
title Tilting Modules in Truncated Categories
spellingShingle Tilting Modules in Truncated Categories
Bennett, Matthew
current algebra
tilting module
Serre subcategory
title_short Tilting Modules in Truncated Categories
title_full Tilting Modules in Truncated Categories
title_fullStr Tilting Modules in Truncated Categories
title_full_unstemmed Tilting Modules in Truncated Categories
title_sort Tilting Modules in Truncated Categories
author Bennett, Matthew
author_facet Bennett, Matthew
Bianchi, Angelo [UNIFESP]
author_role author
author2 Bianchi, Angelo [UNIFESP]
author2_role author
dc.contributor.institution.none.fl_str_mv Universidade Estadual de Campinas (UNICAMP)
Universidade Federal de São Paulo (UNIFESP)
dc.contributor.author.fl_str_mv Bennett, Matthew
Bianchi, Angelo [UNIFESP]
dc.subject.eng.fl_str_mv current algebra
tilting module
Serre subcategory
topic current algebra
tilting module
Serre subcategory
description We begin the study of a tilting theory in certain truncated categories of modules G(Gamma) for the current Lie algebra associated to a finite-dimensional complex simple Lie algebra, where Gamma = P+ x J, J is an interval in Z, and P+ is the set of dominant integral weights of the simple Lie algebra. We use this to put a tilting theory on the category G(Gamma') where Gamma' = P' x J, where P' subset of P+ is saturated. Under certain natural conditions on Gamma', we note that G(Gamma') admits full tilting modules.
publishDate 2014
dc.date.issued.fl_str_mv 2014-01-01
dc.date.accessioned.fl_str_mv 2016-01-24T14:35:00Z
dc.date.available.fl_str_mv 2016-01-24T14:35:00Z
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.citation.fl_str_mv Symmetry Integrability and Geometry-methods and Applications. Kyiv 4: Natl Acad Sci Ukraine, Inst Math, v. 10, 24 p., 2014.
dc.identifier.uri.fl_str_mv http://repositorio.unifesp.br/handle/11600/37185
http://dx.doi.org/10.3842/SIGMA.2014.030
dc.identifier.issn.none.fl_str_mv 1815-0659
dc.identifier.file.none.fl_str_mv WOS000334593600001.pdf
dc.identifier.doi.none.fl_str_mv 10.3842/SIGMA.2014.030
dc.identifier.wos.none.fl_str_mv WOS:000334593600001
identifier_str_mv Symmetry Integrability and Geometry-methods and Applications. Kyiv 4: Natl Acad Sci Ukraine, Inst Math, v. 10, 24 p., 2014.
1815-0659
WOS000334593600001.pdf
10.3842/SIGMA.2014.030
WOS:000334593600001
url http://repositorio.unifesp.br/handle/11600/37185
http://dx.doi.org/10.3842/SIGMA.2014.030
dc.language.iso.fl_str_mv eng
language eng
dc.relation.ispartof.none.fl_str_mv Symmetry Integrability and Geometry-methods and Applications
dc.rights.driver.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.format.none.fl_str_mv 24
dc.publisher.none.fl_str_mv Natl Acad Sci Ukraine, Inst Math
publisher.none.fl_str_mv Natl Acad Sci Ukraine, Inst Math
dc.source.none.fl_str_mv reponame:Repositório Institucional da UNIFESP
instname:Universidade Federal de São Paulo (UNIFESP)
instacron:UNIFESP
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institution UNIFESP
reponame_str Repositório Institucional da UNIFESP
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