The Structure of the Normalizers of Maximal Toruses in Lie-Type Groups

Siberian Advances in Mathematics Pub Date : 2024-09-18 DOI:10.1134/s1055134424030040

A. A. Galt

引用次数: 0

Abstract

The main aim of the present article is to survey results on the structure of the normalizers of maximal toruses in Lie-type groups. In particular, we present results on splitting of the normalizer of a maximal torus and, in the case of exceptional groups, on the minimal order of a lift in the corresponding normalizer for elements of the Weyl group.

查看原文本刊更多论文

李型群中最大环的归一化结构

摘要本文的主要目的是考察有关李型群中最大环的归一化结构的结果。特别是，我们提出了关于最大环的归一化的分裂结果，以及在特殊群的情况下，关于韦尔群元素在相应归一化中的提升的最小阶的结果。

本文章由计算机程序翻译，如有差异，请以英文原文为准。

求助全文

约1分钟内获得全文求助全文

来源期刊

Siberian Advances in Mathematics Mathematics-Mathematics (all)

CiteScore

0.70

自引率

0.00%

发文量

期刊介绍： Siberian Advances in Mathematics is a journal that publishes articles on fundamental and applied mathematics. It covers a broad spectrum of subjects: algebra and logic, real and complex analysis, functional analysis, differential equations, mathematical physics, geometry and topology, probability and mathematical statistics, mathematical cybernetics, mathematical economics, mathematical problems of geophysics and tomography, numerical methods, and optimization theory.