Equivariant K-Theory of Simply Connected Lie Groups

Details Equivariant K-Theory of Simply Connected Lie Groups Equivariant K-Theory of Simply Connected Lie Groups

1997-10-30

arxiv.org/abs/dg-ga/9710035v2

Mathematics

Differential Geometry

16pages, 1 figure

Scientific paper

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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