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
Descripción
Sumario: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.

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