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arXiv · 2310.18561

Certain linear isomorphisms for hyperalgebras relative to a Chevalley group

Yutaka Yoshii
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Abstract

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.

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Yutaka Yoshii. 2023-10-28. Certain linear isomorphisms for hyperalgebras relative to a Chevalley group. https://doi.org/10.1142/s0219498825501853

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