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arXiv:0809.0074 [math.RT]AbstractReferencesReviewsResources

Group algebras of finite groups as Lie algebras

Ivan Marin

Published 2008-08-30Version 1

We consider the natural Lie algebra structure on the (associative) group algebra of a finite group $G$, and show that the Lie subalgebras associated to natural involutive antiautomorphisms of this group algebra are reductive ones. We give a decomposition in simple factors of these Lie algebras, in terms of the ordinary representations of $G$.

Comments: 12 pages
Categories: math.RT, math.GR
Subjects: 20C15, 17B99
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