Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I : Non-semisimple classes in PSLₙ(q)

Autores
Andruskiewitsch, Nicolás; Carnovale, Giovanna; García, Gastón Andrés
Año de publicación
2015
Idioma
inglés
Tipo de recurso
artículo
Estado
versión publicada
Descripción
We show that Nichols algebras of most simple Yetter–Drinfeld modules over the projective special linear group over a finite field, corresponding to non-semisimple orbits, have infinite dimension. We spell out a new criterium to show that a rack collapses.
Facultad de Ciencias Exactas
Materia
Matemática
Nichols algebra
Yetter–Drinfeld module
Hopf algebra
Racks
Finite groups of Lie type
Nivel de accesibilidad
acceso abierto
Condiciones de uso
http://creativecommons.org/licenses/by-nc-sa/4.0/
Repositorio
SEDICI (UNLP)
Institución
Universidad Nacional de La Plata
OAI Identificador
oai:sedici.unlp.edu.ar:10915/102972
Acceder
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repository_id_str 1329
network_name_str SEDICI (UNLP)
spelling Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I : Non-semisimple classes in PSLₙ(q)Andruskiewitsch, NicolásCarnovale, GiovannaGarcía, Gastón AndrésMatemáticaNichols algebraYetter–Drinfeld moduleHopf algebraRacksFinite groups of Lie typeWe show that Nichols algebras of most simple Yetter–Drinfeld modules over the projective special linear group over a finite field, corresponding to non-semisimple orbits, have infinite dimension. We spell out a new criterium to show that a rack collapses.Facultad de Ciencias Exactas2015info:eu-repo/semantics/articleinfo:eu-repo/semantics/publishedVersionArticulohttp://purl.org/coar/resource_type/c_6501info:ar-repo/semantics/articuloapplication/pdf36-65http://sedici.unlp.edu.ar/handle/10915/102972enginfo:eu-repo/semantics/altIdentifier/issn/0021-8693info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2014.06.019info:eu-repo/semantics/reference/hdl/10915/129363info:eu-repo/semantics/reference/hdl/10915/132328info:eu-repo/semantics/reference/hdl/10915/132335info:eu-repo/semantics/openAccesshttp://creativecommons.org/licenses/by-nc-sa/4.0/Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)reponame:SEDICI (UNLP)instname:Universidad Nacional de La Platainstacron:UNLP2025-10-22T17:03:11Zoai:sedici.unlp.edu.ar:10915/102972Institucionalhttp://sedici.unlp.edu.ar/Universidad públicaNo correspondehttp://sedici.unlp.edu.ar/oai/snrdalira@sedici.unlp.edu.arArgentinaNo correspondeNo correspondeNo correspondeopendoar:13292025-10-22 17:03:11.794SEDICI (UNLP) - Universidad Nacional de La Platafalse
dc.title.none.fl_str_mv Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I : Non-semisimple classes in PSLₙ(q)
title Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I : Non-semisimple classes in PSLₙ(q)
spellingShingle Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I : Non-semisimple classes in PSLₙ(q)
Andruskiewitsch, Nicolás
Matemática
Nichols algebra
Yetter–Drinfeld module
Hopf algebra
Racks
Finite groups of Lie type
title_short Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I : Non-semisimple classes in PSLₙ(q)
title_full Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I : Non-semisimple classes in PSLₙ(q)
title_fullStr Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I : Non-semisimple classes in PSLₙ(q)
title_full_unstemmed Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I : Non-semisimple classes in PSLₙ(q)
title_sort Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I : Non-semisimple classes in PSLₙ(q)
dc.creator.none.fl_str_mv Andruskiewitsch, Nicolás
Carnovale, Giovanna
García, Gastón Andrés
author Andruskiewitsch, Nicolás
author_facet Andruskiewitsch, Nicolás
Carnovale, Giovanna
García, Gastón Andrés
author_role author
author2 Carnovale, Giovanna
García, Gastón Andrés
author2_role author
author
dc.subject.none.fl_str_mv Matemática
Nichols algebra
Yetter–Drinfeld module
Hopf algebra
Racks
Finite groups of Lie type
topic Matemática
Nichols algebra
Yetter–Drinfeld module
Hopf algebra
Racks
Finite groups of Lie type
dc.description.none.fl_txt_mv We show that Nichols algebras of most simple Yetter–Drinfeld modules over the projective special linear group over a finite field, corresponding to non-semisimple orbits, have infinite dimension. We spell out a new criterium to show that a rack collapses.
Facultad de Ciencias Exactas
description We show that Nichols algebras of most simple Yetter–Drinfeld modules over the projective special linear group over a finite field, corresponding to non-semisimple orbits, have infinite dimension. We spell out a new criterium to show that a rack collapses.
publishDate 2015
dc.date.none.fl_str_mv 2015
dc.type.none.fl_str_mv info:eu-repo/semantics/article
info:eu-repo/semantics/publishedVersion
Articulo
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://sedici.unlp.edu.ar/handle/10915/102972
url http://sedici.unlp.edu.ar/handle/10915/102972
dc.language.none.fl_str_mv eng
language eng
dc.relation.none.fl_str_mv info:eu-repo/semantics/altIdentifier/issn/0021-8693
info:eu-repo/semantics/altIdentifier/doi/10.1016/j.jalgebra.2014.06.019
info:eu-repo/semantics/reference/hdl/10915/129363
info:eu-repo/semantics/reference/hdl/10915/132328
info:eu-repo/semantics/reference/hdl/10915/132335
dc.rights.none.fl_str_mv info:eu-repo/semantics/openAccess
http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
eu_rights_str_mv openAccess
rights_invalid_str_mv http://creativecommons.org/licenses/by-nc-sa/4.0/
Creative Commons Attribution-NonCommercial-ShareAlike 4.0 International (CC BY-NC-SA 4.0)
dc.format.none.fl_str_mv application/pdf
36-65
dc.source.none.fl_str_mv reponame:SEDICI (UNLP)
instname:Universidad Nacional de La Plata
instacron:UNLP
reponame_str SEDICI (UNLP)
collection SEDICI (UNLP)
instname_str Universidad Nacional de La Plata
instacron_str UNLP
institution UNLP
repository.name.fl_str_mv SEDICI (UNLP) - Universidad Nacional de La Plata
repository.mail.fl_str_mv alira@sedici.unlp.edu.ar
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