On Hopf algebras with triangular decomposition

Autores
Vay, Cristian Damian
Año de publicación
2019
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
In this survey, we first review some known results on the representationtheory of algebras with triangular decomposition, including the classification of the simple modules. We then discuss a recipe to construct Hopf algebras with triangular decomposition. Finally, we extend to these Hopf algebras the main results of a previous work of the author regarding projective modules over Drinfeld doubles of bosonizations of Nichols algebras and groups.
Fil: Vay, Cristian Damian. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
Materia
HOPF ALGEBRAS
NICHOLS ALGEBRAS
REPRESENTATION THEORY
HIGHEST WEIGHT CATEGORY
Nivel de accesibilidad
acceso embargado
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:11336/119971
Acceder
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network_name_str CONICET Digital (CONICET)
spelling On Hopf algebras with triangular decompositionVay, Cristian DamianHOPF ALGEBRASNICHOLS ALGEBRASREPRESENTATION THEORYHIGHEST WEIGHT CATEGORYhttps://purl.org/becyt/ford/1.1https://purl.org/becyt/ford/1In this survey, we first review some known results on the representationtheory of algebras with triangular decomposition, including the classification of the simple modules. We then discuss a recipe to construct Hopf algebras with triangular decomposition. Finally, we extend to these Hopf algebras the main results of a previous work of the author regarding projective modules over Drinfeld doubles of bosonizations of Nichols algebras and groups.Fil: Vay, Cristian Damian. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; ArgentinaAMS2019-04info:eu-repo/date/embargoEnd/2021-02-28info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionhttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdfapplication/pdfhttp://hdl.handle.net/11336/119971Vay, Cristian Damian; On Hopf algebras with triangular decomposition; AMS; Contemporary Mathematics; 728; 4-2019; 181-199978-1-4704-4321-40271-4132CONICET DigitalCONICETenginfo:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1808.03799info:eu-repo/semantics/altIdentifier/doi/10.1090/conm/728/14662info:eu-repo/semantics/embargoedAccesshttps://creativecommons.org/licenses/by-nc-sa/2.5/ar/reponame:CONICET Digital (CONICET)instname:Consejo Nacional de Investigaciones Científicas y Técnicas2025-10-22T12:11:54Zoai:ri.conicet.gov.ar:11336/119971instacron: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:34982025-10-22 12:11:54.724CONICET Digital (CONICET) - Consejo Nacional de Investigaciones Científicas y Técnicasfalse
dc.title.none.fl_str_mv On Hopf algebras with triangular decomposition
title On Hopf algebras with triangular decomposition
spellingShingle On Hopf algebras with triangular decomposition
Vay, Cristian Damian
HOPF ALGEBRAS
NICHOLS ALGEBRAS
REPRESENTATION THEORY
HIGHEST WEIGHT CATEGORY
title_short On Hopf algebras with triangular decomposition
title_full On Hopf algebras with triangular decomposition
title_fullStr On Hopf algebras with triangular decomposition
title_full_unstemmed On Hopf algebras with triangular decomposition
title_sort On Hopf algebras with triangular decomposition
dc.creator.none.fl_str_mv Vay, Cristian Damian
author Vay, Cristian Damian
author_facet Vay, Cristian Damian
author_role author
dc.subject.none.fl_str_mv HOPF ALGEBRAS
NICHOLS ALGEBRAS
REPRESENTATION THEORY
HIGHEST WEIGHT CATEGORY
topic HOPF ALGEBRAS
NICHOLS ALGEBRAS
REPRESENTATION THEORY
HIGHEST WEIGHT CATEGORY
purl_subject.fl_str_mv https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
dc.description.none.fl_txt_mv In this survey, we first review some known results on the representationtheory of algebras with triangular decomposition, including the classification of the simple modules. We then discuss a recipe to construct Hopf algebras with triangular decomposition. Finally, we extend to these Hopf algebras the main results of a previous work of the author regarding projective modules over Drinfeld doubles of bosonizations of Nichols algebras and groups.
Fil: Vay, Cristian Damian. 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. Universidad Nacional de Córdoba. Facultad de Matemática, Astronomía y Física; Argentina
description In this survey, we first review some known results on the representationtheory of algebras with triangular decomposition, including the classification of the simple modules. We then discuss a recipe to construct Hopf algebras with triangular decomposition. Finally, we extend to these Hopf algebras the main results of a previous work of the author regarding projective modules over Drinfeld doubles of bosonizations of Nichols algebras and groups.
publishDate 2019
dc.date.none.fl_str_mv 2019-04
info:eu-repo/date/embargoEnd/2021-02-28
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/11336/119971
Vay, Cristian Damian; On Hopf algebras with triangular decomposition; AMS; Contemporary Mathematics; 728; 4-2019; 181-199
978-1-4704-4321-4
0271-4132
CONICET Digital
CONICET
url http://hdl.handle.net/11336/119971
identifier_str_mv Vay, Cristian Damian; On Hopf algebras with triangular decomposition; AMS; Contemporary Mathematics; 728; 4-2019; 181-199
978-1-4704-4321-4
0271-4132
CONICET Digital
CONICET
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/arxiv/https://arxiv.org/abs/1808.03799
info:eu-repo/semantics/altIdentifier/doi/10.1090/conm/728/14662
dc.rights.none.fl_str_mv info:eu-repo/semantics/embargoedAccess
https://creativecommons.org/licenses/by-nc-sa/2.5/ar/
eu_rights_str_mv embargoedAccess
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 AMS
publisher.none.fl_str_mv AMS
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 12.982451

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