Group algebras of finite groups as Lie algebras

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dc.creatorMarin, Ivan
dc.date2008-08-30
dc.date.accessioned2026-07-07T09:59:38Z
dc.date.available2026-07-07T09:59:38Z
dc.descriptionWe 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 $G$.
dc.description12 pages
dc.identifierhttps://arxiv.org/abs/0809.0074
dc.identifierhttp://arxiv.org/abs/0809.0074
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168092
dc.subjectRepresentation Theory
dc.subjectGroup Theory
dc.subject20C15, 17B99
dc.titleGroup algebras of finite groups as Lie algebras
dc.typetext

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