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

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.

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Detalles Bibliográficos
Autores principales: Andruskiewitsch, Nicolás, Carnovale, Giovanna, García, Gastón Andrés
Formato: Articulo
Lenguaje:Inglés
Publicado: 2015
Materias:
Matemática
Nichols algebra
Yetter–Drinfeld module
Hopf algebra
Racks
Finite groups of Lie type
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/102972
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-102972
record_format dspace
institution Universidad Nacional de La Plata
institution_str I-19
repository_str R-120
collection SEDICI (UNLP)
language Inglés
topic Matemática
Nichols algebra
Yetter–Drinfeld module
Hopf algebra
Racks
Finite groups of Lie type
spellingShingle Matemática
Nichols algebra
Yetter–Drinfeld module
Hopf algebra
Racks
Finite groups of Lie type
Andruskiewitsch, Nicolás
Carnovale, Giovanna
García, Gastón Andrés
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I : Non-semisimple classes in PSLₙ(q)
topic_facet Matemática
Nichols algebra
Yetter–Drinfeld module
Hopf algebra
Racks
Finite groups of Lie type
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.
format Articulo
Articulo
author Andruskiewitsch, Nicolás
Carnovale, Giovanna
García, Gastón Andrés
author_facet Andruskiewitsch, Nicolás
Carnovale, Giovanna
García, Gastón Andrés
author_sort Andruskiewitsch, Nicolás
title Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type I : Non-semisimple classes in PSLₙ(q)
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)
publishDate 2015
url http://sedici.unlp.edu.ar/handle/10915/102972
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AT carnovalegiovanna finitedimensionalpointedhopfalgebrasoverfinitesimplegroupsoflietypeinonsemisimpleclassesinpslnq
AT garciagastonandres finitedimensionalpointedhopfalgebrasoverfinitesimplegroupsoflietypeinonsemisimpleclassesinpslnq
bdutipo_str Repositorios
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