Adjoint algebraic groups as automorphism groups of a projector on a central simple algebra

被引：0

作者：

Petrov, Viktor A. ^{[1
,2
]}

Semenov, Andrei V. ^{[1
,2
]}

机构：

[1] St Petersburg State Univ, 14th Line,29b, St Petersburg 199178, Russia

[2] RAS, BPDMI, Nab Fontanki 27, St Petersburg 191023, Russia

来源：

JOURNAL OF ALGEBRA | 2020年 / 560卷

关键词：

Algebraic groups; Central simple algebras; Casimir operator;

D O I：

10.1016/j.jalgebra.2020.06.006

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that any adjoint absolutely simple linear algebraic group over a field of characteristic zero is the automorphism group of some projector on a central simple algebra. Projective homogeneous varieties can be described in these terms; in particular, we reproduce quadratic equations by Lichtenstein defining them. (C) 2020 Elsevier Inc. All rights reserved.

引用

页码：574 / 578

页数：5

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