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
- Institución
- Consejo Nacional de Investigaciones Científicas y Técnicas
- OAI Identificador
- oai:ri.conicet.gov.ar:11336/119971
Ver los metadatos del registro completo
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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 Técnicas2025-09-29T10:39:35Zoai: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:34982025-09-29 10:39:36.046CONICET 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) |
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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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1844614421472608256 |
score |
13.070432 |