On the fixed points of a finite group acting on a relatively free Lie algebra

被引：9

作者：

Bryant, RM

Papistas, AI

机构：

[1] UMIST, Dept Math, Manchester M60 1QD, Lancs, England

[2] Aristotelian Univ Salonika, Dept Math, GR-54006 Salonika, Greece

来源：

GLASGOW MATHEMATICAL JOURNAL | 2000年 / 42卷

关键词：

D O I：

10.1017/S0017089500020024

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We show that if F is a free Lie algebra of rank at least 2 and if G is a non-trivial finite group of automorphisms of F then the fixed point subalgebra F-G is not finitely generated. Some similar results are proved for relatively free Lie algebras.

引用

页码：167 / 181

页数：15

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