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.

引用

页码：974 / 977

页数：3

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