On Nichols algebras over SL (2,Fq) and GL (2, Fq)

We compute necessary conditions on Yetter-Drinfeld modules over the groups SL (2, Fq) and GL (2, Fq) to generate finite dimensional Nichols algebras. This is a first step toward a classification of pointed Hopf algebras with a group of grouplikes isomorphic to one of these groups. © 2007 American In...

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Detalhes bibliográficos
Autores: Freyre, S., Graña, M., Vendramin, L.
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2007
País:Argentina
Recursos:Universidad Nacional de Buenos Aires. Facultad de Ciencias Exactas y Naturales
Repositorio:Biblioteca Digital (UBA-FCEN)
Idioma:inglés
OAI Identifier:paperaa:paper_00222488_v48_n12_p_Freyre
Acesso em linha:http://hdl.handle.net/20.500.12110/paper_00222488_v48_n12_p_Freyre
Access Level:acceso abierto
Descrição
Resumo:We compute necessary conditions on Yetter-Drinfeld modules over the groups SL (2, Fq) and GL (2, Fq) to generate finite dimensional Nichols algebras. This is a first step toward a classification of pointed Hopf algebras with a group of grouplikes isomorphic to one of these groups. © 2007 American Institute of Physics.