超基团相对于切瓦利群的某些线性同构

IF 0.5 3区数学 Q3 MATHEMATICS

Journal of Algebra and Its Applications Pub Date : 2024-01-31 DOI:10.1142/s0219498825501853

Yutaka Yoshii

引用次数: 0

摘要

设 G 是一个简单相连的代数群，定义并分裂于一个 p 元素的有限素域𝔽p 上。在本文中，我们利用相对于 G 的超代数上的𝔽p 线性映射分裂 Frobenius 内形变，得到了超代数中乘法诱导的一些𝔽p 线性同构。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

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Certain linear isomorphisms for hyperalgebras relative to a Chevalley group

Let $G$ be a simply connected and simple algebraic group defined and split over a finite prime field $𝔽_{p}$ of $p$ elements. In this paper, using an $𝔽_{p}$ -linear map splitting Frobenius endomorphism on a hyperalgebra relative to $G$ , we obtain some $𝔽_{p}$ -linear isomorphisms induced by multiplication in the hyperalgebra.

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来源期刊

Journal of Algebra and Its Applications 数学-数学

CiteScore

1.50

自引率

12.50%

发文量

226

审稿时长

4-8 weeks

期刊介绍： The Journal of Algebra and Its Applications will publish papers both on theoretical and on applied aspects of Algebra. There is special interest in papers that point out innovative links between areas of Algebra and fields of application. As the field of Algebra continues to experience tremendous growth and diversification, we intend to provide the mathematical community with a central source for information on both the theoretical and the applied aspects of the discipline. While the journal will be primarily devoted to the publication of original research, extraordinary expository articles that encourage communication between algebraists and experts on areas of application as well as those presenting the state of the art on a given algebraic sub-discipline will be considered.