Complete reducibility theorems for modules over pointed Hopf algebras

Autores
Andruskiewitsch, Nicolas; Radford, David E.; Hans-Jürgen Schneider
Año de publicación
2010
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We investigate the representation theory of a large class of pointed Hopf algebras, extending results of Lusztig and others. We classify all simple modules in a suitable category and determine the weight multiplicities; we establish a complete reducibility theorem in this category.
Fil: Andruskiewitsch, Nicolas. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Radford, David E.. University of Illinois; Estados Unidos
Fil: Hans-Jürgen Schneider. Technische Universitat München; Alemania
Materia
Quantum groups
Pointed Hopf algebras
Complete reducibility
Nivel de accesibilidad
acceso abierto
Condiciones de uso
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
Repositorio
CONICET Digital (CONICET)
Institución
Consejo Nacional de Investigaciones Científicas y Técnicas
OAI Identificador
oai:ri.conicet.gov.ar:11336/280914
Acceder
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oai_identifier_str oai:ri.conicet.gov.ar:11336/280914
network_acronym_str CONICETDig
repository_id_str 3498
network_name_str CONICET Digital (CONICET)
spelling Complete reducibility theorems for modules over pointed Hopf algebrasAndruskiewitsch, NicolasRadford, David E.Hans-Jürgen SchneiderQuantum groupsPointed Hopf algebrasComplete reducibilityhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1We investigate the representation theory of a large class of pointed Hopf algebras, extending results of Lusztig and others. We classify all simple modules in a suitable category and determine the weight multiplicities; we establish a complete reducibility theorem in this category.Fil: Andruskiewitsch, Nicolas. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; ArgentinaFil: Radford, David E.. University of Illinois; Estados UnidosFil: Hans-Jürgen Schneider. Technische Universitat München; AlemaniaAcademic Press Inc Elsevier Science2010-12info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/280914Andruskiewitsch, Nicolas; Radford, David E.; Hans-Jürgen Schneider; Complete reducibility theorems for modules over pointed Hopf algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 324; 11; 12-2010; 2932-29700021-8693CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869310002620info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2010.06.002info:eu-repo/semantics/openAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2026-02-06T12:55:07Zoai:ri.conicet.gov.ar:11336/280914instacron:CONICETInstitucionalhttp://ri.conicet.gov.ar/Organismo científico-tecnológicoNo correspondehttp://ri.conicet.gov.ar/oai/requestdasensio@conicet.gov.ar; lcarlino@conicet.gov.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:34982026-02-06 12:55:07.374CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv Complete reducibility theorems for modules over pointed Hopf algebras
title Complete reducibility theorems for modules over pointed Hopf algebras
spellingShingle Complete reducibility theorems for modules over pointed Hopf algebras
Andruskiewitsch, Nicolas
Quantum groups
Pointed Hopf algebras
Complete reducibility
title_short Complete reducibility theorems for modules over pointed Hopf algebras
title_full Complete reducibility theorems for modules over pointed Hopf algebras
title_fullStr Complete reducibility theorems for modules over pointed Hopf algebras
title_full_unstemmed Complete reducibility theorems for modules over pointed Hopf algebras
title_sort Complete reducibility theorems for modules over pointed Hopf algebras
dc.creator.none.fl_str_mv Andruskiewitsch, Nicolas
Radford, David E.
Hans-Jürgen Schneider
author Andruskiewitsch, Nicolas
author_facet Andruskiewitsch, Nicolas
Radford, David E.
Hans-Jürgen Schneider
author_role author
author2 Radford, David E.
Hans-Jürgen Schneider
author2_role author
author
dc.subject.none.fl_str_mv Quantum groups
Pointed Hopf algebras
Complete reducibility
topic Quantum groups
Pointed Hopf algebras
Complete reducibility
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv We investigate the representation theory of a large class of pointed Hopf algebras, extending results of Lusztig and others. We classify all simple modules in a suitable category and determine the weight multiplicities; we establish a complete reducibility theorem in this category.
Fil: Andruskiewitsch, Nicolas. Consejo Nacional de Investigaciones Científicas y Técnicas. Centro Científico Tecnológico Conicet - Córdoba. Centro de Investigación y Estudios de Matemática. Universidad Nacional de Córdoba. Centro de Investigación y Estudios de Matemática; Argentina
Fil: Radford, David E.. University of Illinois; Estados Unidos
Fil: Hans-Jürgen Schneider. Technische Universitat München; Alemania
description We investigate the representation theory of a large class of pointed Hopf algebras, extending results of Lusztig and others. We classify all simple modules in a suitable category and determine the weight multiplicities; we establish a complete reducibility theorem in this category.
publishDate 2010
dc.date.none.fl_str_mv 2010-12
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
http://purl.org/coar/resource_type/c_6501
info:ar-repo/semantics/articulo
format article
status_str publishedVersion
dc.identifier.none.fl_str_mv http://hdl.handle.net/11336/280914
Andruskiewitsch, Nicolas; Radford, David E.; Hans-Jürgen Schneider; Complete reducibility theorems for modules over pointed Hopf algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 324; 11; 12-2010; 2932-2970
0021-8693
CONICET Digital
CONICET
url http://hdl.handle.net/11336/280914
identifier_str_mv Andruskiewitsch, Nicolas; Radford, David E.; Hans-Jürgen Schneider; Complete reducibility theorems for modules over pointed Hopf algebras; Academic Press Inc Elsevier Science; Journal of Algebra; 324; 11; 12-2010; 2932-2970
0021-8693
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/url/https://www.sciencedirect.com/science/article/pii/S0021869310002620
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2010.06.002
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv openAccess
rights_invalid_str_mv https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
dc.format.none.fl_str_mv application/pdf
application/pdf
dc.publisher.none.fl_str_mv Academic Press Inc Elsevier Science
publisher.none.fl_str_mv Academic Press Inc Elsevier Science
dc.source.none.fl_str_mv reponame:CONICET Digital (CONICET)
instname:Consejo Nacional de Investigaciones Científicas y Técnicas
reponame_str CONICET Digital (CONICET)
collection CONICET Digital (CONICET)
instname_str Consejo Nacional de Investigaciones Científicas y Técnicas
repository.name.fl_str_mv CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicas
repository.mail.fl_str_mv dasensio@conicet.gov.ar; lcarlino@conicet.gov.ar
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score 13.106097

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