Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II : Unipotent classes in symplectic groups

We show that Nichols algebras of most simple Yetter–Drinfeld modules over the projective symplectic linear group over a finite field, corresponding to unipotent orbits, have infinite dimension. We give a criterion to deal with unipotent classes of general finite simple groups of Lie type and apply i...

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Detalles Bibliográficos
Autores principales: Andruskiewitsch, Nicolás, Carnovale, Giovanna, García, Gastón Andrés
Formato: Articulo Preprint
Lenguaje:Inglés
Publicado: 2016
Materias:
Matemática
Nichols algebra
Hopf algebra
Rack
Finite group of Lie type
Conjugacy class
Acceso en línea:http://sedici.unlp.edu.ar/handle/10915/129363
Aporte de:
SEDICI (UNLP) de Universidad Nacional de La Plata
id I19-R120-10915-129363
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
Hopf algebra
Rack
Finite group of Lie type
Conjugacy class
spellingShingle Matemática
Nichols algebra
Hopf algebra
Rack
Finite group of Lie type
Conjugacy class
Andruskiewitsch, Nicolás
Carnovale, Giovanna
García, Gastón Andrés
Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II : Unipotent classes in symplectic groups
topic_facet Matemática
Nichols algebra
Hopf algebra
Rack
Finite group of Lie type
Conjugacy class
description We show that Nichols algebras of most simple Yetter–Drinfeld modules over the projective symplectic linear group over a finite field, corresponding to unipotent orbits, have infinite dimension. We give a criterion to deal with unipotent classes of general finite simple groups of Lie type and apply it to regular classes in Chevalley and Steinberg groups.
format Articulo
Preprint
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 II : Unipotent classes in symplectic groups
title_short Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II : Unipotent classes in symplectic groups
title_full Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II : Unipotent classes in symplectic groups
title_fullStr Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II : Unipotent classes in symplectic groups
title_full_unstemmed Finite-dimensional pointed Hopf algebras over finite simple groups of Lie type II : Unipotent classes in symplectic groups
title_sort finite-dimensional pointed hopf algebras over finite simple groups of lie type ii : unipotent classes in symplectic groups
publishDate 2016
url http://sedici.unlp.edu.ar/handle/10915/129363
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AT garciagastonandres finitedimensionalpointedhopfalgebrasoverfinitesimplegroupsoflietypeiiunipotentclassesinsymplecticgroups
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