Nonlinearity of the Automorphism Groups of Some Free Algebras

被引：0
|
作者：
V. A. Roman´kov
I. V. Chirkov
M. A. Shevelin
机构：
[1] Omsk State University,
来源：
Siberian Mathematical Journal | 2004年 / 45卷
关键词：
free algebra; automorphism group; linearity;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
We prove that the groups of tame automorphisms of a free Lie algebra (free associative algebra, absolutely free algebra, algebra of polynomials) of rank at least four over a field of characteristic zero admit no faithful representation by matrices over any field.
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页码：974 / 977
页数：3
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