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Equivariant K-Theory of Simply Connected Lie Groups

Jean-Luc Brylinski·Bin Zhang
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Abstract

We 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.

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BibTeXRIS

Jean-Luc Brylinski, Bin Zhang. 1999-03-03. Equivariant K-Theory of Simply Connected Lie Groups. https://arxiv.org/abs/dg-ga/9710035

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