Construction of simple non-weight sl(2)-modules of arbitrary rank

[EN]We study simple non-weight sl(2)-modules which are finitely generated as C[z]-modules. We show that they are described in terms of semilinear endomorphisms and prove that the Smith type induces a stratification on the set of these sl(2)-modules, providing thus new invariants. Moreover, we show t...

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Detalles Bibliográficos
Autores: Plaza Martín, Francisco José, Tejero Prieto, Tomás Carlos
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:España
Institución:Universidad de Salamanca (USAL)
Repositorio:GREDOS. Repositorio Institucional de la Universidad de Salamanca
OAI Identifier:oai:gredos.usal.es:10366/159336
Acceso en línea:http://hdl.handle.net/10366/159336
Access Level:acceso abierto
Palabra clave:sl(2)-representations
Simple modules
Non-weight modules
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repository_id_str
spelling Construction of simple non-weight sl(2)-modules of arbitrary rankPlaza Martín, Francisco JoséTejero Prieto, Tomás Carlossl(2)-representationsSimple modulesNon-weight modules[EN]We study simple non-weight sl(2)-modules which are finitely generated as C[z]-modules. We show that they are described in terms of semilinear endomorphisms and prove that the Smith type induces a stratification on the set of these sl(2)-modules, providing thus new invariants. Moreover, we show that there is a notion of duality for these type of sl(2)-modules. Finally, we show that there are simple non-weight sl(2)-modules of arbitrary rank by constructing a whole new family of them.ELSEVIER202420242017info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://hdl.handle.net/10366/159336reponame:GREDOS. Repositorio Institucional de la Universidad de Salamancainstname:Universidad de Salamanca (USAL)Inglésinfo:eu-repo/semantics/openAccessoai:gredos.usal.es:10366/1593362026-06-07T06:28:51Z
dc.title.none.fl_str_mv Construction of simple non-weight sl(2)-modules of arbitrary rank
title Construction of simple non-weight sl(2)-modules of arbitrary rank
spellingShingle Construction of simple non-weight sl(2)-modules of arbitrary rank
Plaza Martín, Francisco José
sl(2)-representations
Simple modules
Non-weight modules
title_short Construction of simple non-weight sl(2)-modules of arbitrary rank
title_full Construction of simple non-weight sl(2)-modules of arbitrary rank
title_fullStr Construction of simple non-weight sl(2)-modules of arbitrary rank
title_full_unstemmed Construction of simple non-weight sl(2)-modules of arbitrary rank
title_sort Construction of simple non-weight sl(2)-modules of arbitrary rank
dc.creator.none.fl_str_mv Plaza Martín, Francisco José
Tejero Prieto, Tomás Carlos
author Plaza Martín, Francisco José
author_facet Plaza Martín, Francisco José
Tejero Prieto, Tomás Carlos
author_role author
author2 Tejero Prieto, Tomás Carlos
author2_role author
dc.subject.none.fl_str_mv sl(2)-representations
Simple modules
Non-weight modules
topic sl(2)-representations
Simple modules
Non-weight modules
description [EN]We study simple non-weight sl(2)-modules which are finitely generated as C[z]-modules. We show that they are described in terms of semilinear endomorphisms and prove that the Smith type induces a stratification on the set of these sl(2)-modules, providing thus new invariants. Moreover, we show that there is a notion of duality for these type of sl(2)-modules. Finally, we show that there are simple non-weight sl(2)-modules of arbitrary rank by constructing a whole new family of them.
publishDate 2017
dc.date.none.fl_str_mv 2017
2024
2024
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/10366/159336
url http://hdl.handle.net/10366/159336
dc.language.none.fl_str_mv Inglés
language_invalid_str_mv Inglés
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
eu_rights_str_mv openAccess
dc.publisher.none.fl_str_mv ELSEVIER
publisher.none.fl_str_mv ELSEVIER
dc.source.none.fl_str_mv reponame:GREDOS. Repositorio Institucional de la Universidad de Salamanca
instname:Universidad de Salamanca (USAL)
instname_str Universidad de Salamanca (USAL)
reponame_str GREDOS. Repositorio Institucional de la Universidad de Salamanca
collection GREDOS. Repositorio Institucional de la Universidad de Salamanca
repository.name.fl_str_mv
repository.mail.fl_str_mv
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score 15,811543

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