Liftings of Nichols algebras of diagonal type III. Cartan type G2
We complete the classification of Hopf algebras whose infinitesimal braiding is a principal Yetter–Drinfeld realization of a braided vector space of Cartan type G2 over a cosemisimple Hopf algebra. We develop a general formula for a class of liftings in which the quantum Serre relations hold. We giv...
| Autores: | , |
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| Tipo de documento: | artigo |
| Estado: | Versão publicada |
| Data de publicação: | 2017 |
| País: | Argentina |
| Recursos: | Consejo Nacional de Investigaciones Científicas y Técnicas |
| Repositório: | CONICET Digital (CONICET) |
| Idioma: | inglês |
| OAI Identifier: | oai:ri.conicet.gov.ar:11336/59988 |
| Acesso em linha: | http://hdl.handle.net/11336/59988 |
| Access Level: | Acceso aberto |
| Palavra-chave: | CLASSIFICATION DIAGONAL BRAIDINGS HOPF ALGEBRAS https://purl.org/becyt/ford/1.1 https://purl.org/becyt/ford/1 |
| Resumo: | We complete the classification of Hopf algebras whose infinitesimal braiding is a principal Yetter–Drinfeld realization of a braided vector space of Cartan type G2 over a cosemisimple Hopf algebra. We develop a general formula for a class of liftings in which the quantum Serre relations hold. We give a detailed explanation of the procedure for finding the relations, based on the recent work of Andruskiewitsch, Angiono and Rossi Bertone. |
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