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| Format: | Preprint |
| Veröffentlicht: |
2023
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| Schlagworte: | |
| Online-Zugang: | https://arxiv.org/abs/2310.18561 |
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| _version_ | 1866917589587853312 |
|---|---|
| author | Yoshii, Yutaka |
| author_facet | Yoshii, Yutaka |
| contents | Let $G$ be a simply connected and simple algebraic group defined and split over a finite prime field $\mathbb{F}_p$ of $p$ elements. In this paper, using an $\mathbb{F}_p$-linear map splitting Frobenius endomorphism on a hyperalgebra relative to $G$, we obtain some $\mathbb{F}_p$-linear isomorphisms induced by multiplication in the hyperalgebra. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2310_18561 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | Certain linear isomorphisms for hyperalgebras relative to a Chevalley group Yoshii, Yutaka Rings and Algebras 14L17, 17B35, 16S30 Let $G$ be a simply connected and simple algebraic group defined and split over a finite prime field $\mathbb{F}_p$ of $p$ elements. In this paper, using an $\mathbb{F}_p$-linear map splitting Frobenius endomorphism on a hyperalgebra relative to $G$, we obtain some $\mathbb{F}_p$-linear isomorphisms induced by multiplication in the hyperalgebra. |
| title | Certain linear isomorphisms for hyperalgebras relative to a Chevalley group |
| topic | Rings and Algebras 14L17, 17B35, 16S30 |
| url | https://arxiv.org/abs/2310.18561 |