Test sets in free metabelian Lie algebras

被引：7
|
作者：
Chirkov, IV
Shevelin, MA
机构：
[1] Omsk State University,
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2002年 / 43卷 / 06期
基金：
俄罗斯基础研究基金会;
关键词：
free metabelian Lie algebra; automorphism; test set; test rank;
D O I：
10.1023/A:1021185821646
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We calculate the test rank of a finite rank free metabelian Lie algebra over an arbitrary field and characterize the test sets for these algebras. We prove that each automorphism that is the identity modulo the derived subalgebra and that acts as the identity on some test set is an inner automorphism.
引用
收藏
页码：1135 / 1140
页数：6
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