Equivariant K-Theory of Simply Connected Lie Groups

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dc.creatorBrylinski, Jean-Luc
dc.creatorZhang, Bin
dc.date1997-10-30
dc.date1999-03-03
dc.date.accessioned2026-07-07T03:24:35Z
dc.date.available2026-07-07T03:24:35Z
dc.descriptionWe compute the equivariant $K$-theory $K_G^*(G)$ for a simply connected Lie group $G$ (acting on itself by conjugation). We prove that $K_G^*(G)$ is isomorphic to the algebra of Grothendieck differentials on the representation ring. We also study a special example of a non-simply connected Lie group $G$, namely PSU(3), and compute the corresponding equivariant $K$-theory.
dc.description16pages, 1 figure
dc.identifierhttps://arxiv.org/abs/dg-ga/9710035
dc.identifierhttp://arxiv.org/abs/dg-ga/9710035
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/33379
dc.subjectDifferential Geometry
dc.subjectK-Theory and Homology
dc.titleEquivariant K-Theory of Simply Connected Lie Groups
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