Representations and Cocycle Twists of Color Lie Algebras

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dc.creatorChen, Xiao-Wu
dc.creatorSilvestrov, Sergei D.
dc.creatorvan Oystaeyen, Fred
dc.date2004-07-09
dc.date2006-11-28
dc.date.accessioned2026-07-07T06:38:39Z
dc.date.available2026-07-07T06:38:39Z
dc.descriptionWe study relations between finite-dimensional representations of color Lie algebras and their cocycle twists. Main tools are the universal enveloping algebras and their FCR-properties (finite-dimensional representations are completely reducible.) Cocycle twist preserves the FCR-property. As an application, we compute all finite dimensional representations (up to isomorphism) of the color Lie algebra $sl_2^c$.
dc.description18 pages, with an concrete example
dc.identifierhttps://arxiv.org/abs/math/0407165
dc.identifierhttp://arxiv.org/abs/math/0407165
dc.identifierAlgebras and Representation Theory, Vol.9, No.6 (2006), 633-650
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100810
dc.subjectRepresentation Theory
dc.subjectRings and Algebras
dc.titleRepresentations and Cocycle Twists of Color Lie Algebras
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