Decomposition of free Lie algebras into irreducible components

被引：4

作者：

Hong, J

Kwon, JH

机构：

[1] Department of Mathematics, Seoul National University, Seoul

来源：

JOURNAL OF ALGEBRA | 1997年 / 197卷 / 01期

关键词：

D O I：

10.1006/jabr.1997.7110

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

Let V be a representation of a finite group G. By using the trace formula for the free Lie algebra generated by V, we compute the growth of multiplicities of irreducible components in L-n(V) as n varies. We also decompose L-alpha(V-1 + ... + V-k) and L-n(V-1 x ... x V-k) into irreducible GL(V-1) X ... X GL(V-k)-modules. (C) 1997 Academic Press.

引用

页码：127 / 145

页数：19

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