Cohomological dimensions of universal cosovereign Hopf algebras
We compute the Hochschild and Gerstenhaber-Schack cohomological dimensions of the universal cosovereign Hopf algebras, when the matrix of parameters is a generic asymmetry. Our main tools are considerations on the cohomologies of free product of Hopf algebras, and on the invariance of the cohomologi...
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| Tipo de documento: | Artigo |
| Data de publicação: | 2018 |
| País: | España |
| Recursos: | Universitat Autònoma de Barcelona |
| Repositório: | Dipòsit Digital de Documents de la UAB |
| Idioma: | Inglês |
| OAI Identifier: | oai:ddd.uab.cat:191236 |
| Acesso em linha: | https://ddd.uab.cat/record/191236 https://dx.doi.org/urn:doi:10.5565/PUBLMAT6221801 |
| Nível de acesso: | Acesso aberto |
| Palavra-chave: | Hopf algebra Cohomological dimensions Yetter-Drinfeld module |
| Resumo: | We compute the Hochschild and Gerstenhaber-Schack cohomological dimensions of the universal cosovereign Hopf algebras, when the matrix of parameters is a generic asymmetry. Our main tools are considerations on the cohomologies of free product of Hopf algebras, and on the invariance of the cohomological dimensions under graded twisting by a finite abelian group. |
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