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.
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页码：167 / 181
页数：15
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