Bialgebra cohomology and exact sequences
We show how the bialgebra cohomologies of two Hopf algebras involved in an exact sequence are related, when the third factor is finite-dimensional cosemisimple. As an application, we provide a short proof of the computation of the bialgebra cohomology of the universal cosovereign Hopf algebras in th...
| 發表在: | Comptes Rendus. Mathématique |
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| 主要作者: | |
| 格式: | Article |
| 語言: | 英语 |
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Académie des sciences
2024-11-01
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| 在線閱讀: | https://comptes-rendus.academie-sciences.fr/mathematique/articles/10.5802/crmath.659/ |
| 總結: | We show how the bialgebra cohomologies of two Hopf algebras involved in an exact sequence are related, when the third factor is finite-dimensional cosemisimple. As an application, we provide a short proof of the computation of the bialgebra cohomology of the universal cosovereign Hopf algebras in the generic (cosemisimple) case, done recently by Baraquin, Franz, Gerhold, Kula and Tobolski. |
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| ISSN: | 1778-3569 |