On the Hochschild Cohomology for Frobenius Kernels
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arXiv
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| Auteurs principaux: | , |
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| Format: | Preprint |
| Publié: |
2024
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| _version_ | 1866910710494134272 |
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| author | Karadag, Tekin Nakano, Daniel K. |
| author_facet | Karadag, Tekin Nakano, Daniel K. |
| contents | In this paper the authors investigate the structure of the Hochschild cohomology for Frobenius kernels. The authors first establish some fundamental constructions to compute Hochschild cohomology by using spectral sequences. This enables us to provide a complete description of the $G$-algebra structure of the Hochschild cohomology for the first Frobenius kernel $G_{1}$ where $G=SL_{2}$. This computation heavily relies on the calculation of the adjoint action on the restricted enveloping algebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2411_15569 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | On the Hochschild Cohomology for Frobenius Kernels Karadag, Tekin Nakano, Daniel K. Representation Theory Group Theory Rings and Algebras 20G10, 18G10 In this paper the authors investigate the structure of the Hochschild cohomology for Frobenius kernels. The authors first establish some fundamental constructions to compute Hochschild cohomology by using spectral sequences. This enables us to provide a complete description of the $G$-algebra structure of the Hochschild cohomology for the first Frobenius kernel $G_{1}$ where $G=SL_{2}$. This computation heavily relies on the calculation of the adjoint action on the restricted enveloping algebra. |
| title | On the Hochschild Cohomology for Frobenius Kernels |
| topic | Representation Theory Group Theory Rings and Algebras 20G10, 18G10 |
| url | https://arxiv.org/abs/2411.15569 |