UNITRIANGULAR FACTORIZATION OF TWISTED CHEVALLEY GROUPS

被引：3
|
作者：
Smolensky, Andrei [1 ]
机构：
[1] St Petersburg State Univ, Dept Math & Mech, St Petersburg 198504, Russia
来源：
INTERNATIONAL JOURNAL OF ALGEBRA AND COMPUTATION | 2013年 / 23卷 / 06期
关键词：
Triangular factorization; twisted groups; special unitary group;
D O I：
10.1142/S021819671350032X
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
Unitriangular factorization is a presentation of a linear group as a product of unipotent radicals of a Borel subgroup and its opposite. Whether this decomposition is known for Chevalley groups over rings of stable rank 1 and some Dedekind rings of arithmetic type, the case of twisted groups has been studied only over finite fields. In the present paper we give a much simpler proof for twisted groups over finite fields and the field of complex numbers.
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页码：1497 / 1502
页数：6
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