The Lie algebra cohomology of jets

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dc.creatorKim, Yunhyong
dc.date2002-08-01
dc.date2003-06-10
dc.date.accessioned2026-07-07T04:49:59Z
dc.date.available2026-07-07T04:49:59Z
dc.descriptionLet g be a finite-dimensional complex semi simple Lie algebra. We present a new calculation of the continuous cohomology of the Lie algebra z g[[z]]. In particular, we shall give an explicit formula for the Laplacian on the Lie algebra cochains, from which we can deduce that the cohomology in each dimension is a finite-dimensional representation of g which contains any irreducible representation of g at most once.
dc.identifierhttps://arxiv.org/abs/math/0208007
dc.identifierhttp://arxiv.org/abs/math/0208007
dc.identifierJournal of Lie theory, Vol. 14, 2004 (The accepted paper is significantly different from the earlier versions)
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/64640
dc.subjectRepresentation Theory
dc.subjectAlgebraic Topology
dc.subject17B56, 17B65
dc.titleThe Lie algebra cohomology of jets
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