Decomposition of Free Lie Algebras into Irreducible Components (original) (raw)
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 [ 3 n 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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