Examples of finite-dimensional Hopf algebras with the dual Chevalley property

We present new Hopf algebras with the dual Chevalley property by determining all semisimple Hopf algebras Morita-equivalent to a group algebra over a finite group, for a list of groups supporting a non-trivial finite-dimensional Nichols algebra.

Detalhes bibliográficos
Autores: Andruskiewitsch, Nicolas, Galindo Martinez, Cesar Neyit, Müller, Monique
Formato: artículo
Estado:Versión publicada
Fecha de publicación:2017
País:Argentina
Recursos:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/60703
Acesso em linha:http://hdl.handle.net/11336/60703
Access Level:acceso abierto
Palavra-chave:BRAIDED TENSOR CATEGORIES
FUSION CATEGORIES
HOPF ALGEBRAS
POINTED HOPF ALGEBRAS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descrição
Resumo:We present new Hopf algebras with the dual Chevalley property by determining all semisimple Hopf algebras Morita-equivalent to a group algebra over a finite group, for a list of groups supporting a non-trivial finite-dimensional Nichols algebra.