李型群中最大环的归一化结构

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

A. A. Galt

{"title":"李型群中最大环的归一化结构","authors":"A. A. Galt","doi":"10.1134/s1055134424030040","DOIUrl":null,"url":null,"abstract":"<h3 data-test=\"abstract-sub-heading\">Abstract</h3><p> The main aim of the present article is to survey results on the structure of the normalizers\nof maximal toruses in Lie-type groups. In particular, we present results on splitting of\nthe normalizer of a maximal torus and, in the case of exceptional groups, on the minimal order of\na lift in the corresponding normalizer for elements of the Weyl group.\n</p>","PeriodicalId":39997,"journal":{"name":"Siberian Advances in Mathematics","volume":null,"pages":null},"PeriodicalIF":0.0000,"publicationDate":"2024-09-18","publicationTypes":"Journal Article","fieldsOfStudy":null,"isOpenAccess":false,"openAccessPdf":"","citationCount":"0","resultStr":"{\"title\":\"The Structure of the Normalizers of Maximal Toruses in Lie-Type Groups\",\"authors\":\"A. A. Galt\",\"doi\":\"10.1134/s1055134424030040\",\"DOIUrl\":null,\"url\":null,\"abstract\":\"<h3 data-test=\\\"abstract-sub-heading\\\">Abstract</h3><p> The main aim of the present article is to survey results on the structure of the normalizers\\nof maximal toruses in Lie-type groups. In particular, we present results on splitting of\\nthe normalizer of a maximal torus and, in the case of exceptional groups, on the minimal order of\\na lift in the corresponding normalizer for elements of the Weyl group.\\n</p>\",\"PeriodicalId\":39997,\"journal\":{\"name\":\"Siberian Advances in Mathematics\",\"volume\":null,\"pages\":null},\"PeriodicalIF\":0.0000,\"publicationDate\":\"2024-09-18\",\"publicationTypes\":\"Journal Article\",\"fieldsOfStudy\":null,\"isOpenAccess\":false,\"openAccessPdf\":\"\",\"citationCount\":\"0\",\"resultStr\":null,\"platform\":\"Semanticscholar\",\"paperid\":null,\"PeriodicalName\":\"Siberian Advances in Mathematics\",\"FirstCategoryId\":\"1085\",\"ListUrlMain\":\"https://doi.org/10.1134/s1055134424030040\",\"RegionNum\":0,\"RegionCategory\":null,\"ArticlePicture\":[],\"TitleCN\":null,\"AbstractTextCN\":null,\"PMCID\":null,\"EPubDate\":\"\",\"PubModel\":\"\",\"JCR\":\"\",\"JCRName\":\"\",\"Score\":null,\"Total\":0}","platform":"Semanticscholar","paperid":null,"PeriodicalName":"Siberian Advances in Mathematics","FirstCategoryId":"1085","ListUrlMain":"https://doi.org/10.1134/s1055134424030040","RegionNum":0,"RegionCategory":null,"ArticlePicture":[],"TitleCN":null,"AbstractTextCN":null,"PMCID":null,"EPubDate":"","PubModel":"","JCR":"","JCRName":"","Score":null,"Total":0}

引用次数: 0

摘要

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。

查看原文本刊更多论文

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

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.

求助全文

通过发布文献求助，成功后即可免费获取论文全文。去求助

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.