Bruhat Decomposition for Carpet Subgroups of Chevalley Groups Over Fields

被引：0

作者：

Ya. N. Nuzhin

A. V. Stepanov

机构：

[1] Siberian Federal University,

[2] Institute of Mathematics and Fundamental Informatics,undefined

[3] St. Petersburg State University,undefined

来源：

Algebra and Logic | 2021年 / 60卷

关键词：

Bruhat decomposition; Chevalley group; carpet subgroup;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

Necessary and sufficient conditions for a Bruhat decomposition to exist in a carpet subgroup of the Chevalley group over a field defined by an irreducible closed carpet of additive subgroups are established. It turns out that carpet subgroups, which admit the Bruhat decomposition and are distinct from Chevalley groups, are exhausted by groups lying between Chevalley groups of types Bl, Cl, F4 or G2 over various imperfect fields of exceptional characteristics 2 or 3, respectively, of which the larger field is an algebraic extension of the smaller field.

引用

页码：327 / 335

页数：8

共 15 条

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[10] Levchyuk VM(undefined), and undefined undefined undefined-undefined

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