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Decomposition of Free Lie Algebras into Irreducible Components

✍ Scribed by Jin Hong; Jae-Hoon Kwon

Publisher
Elsevier Science
Year
1997
Tongue
English
Weight
264 KB
Volume
197
Category
Article
ISSN
0021-8693

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✦ Synopsis

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 Ž . Ž of irreducible components in ᑦ V as n varies. We also decompose L L V [ many n's satisfying some condition. We shall also see the growth of Ž . multiplicities of irreducible components in ᑦ V , where V is a represenn tation of any finite group. 127

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