Equivariant K-Theory of Simply Connected Lie Groups
Jean-Luc Brylinski, Bin Zhang
Abstract
We compute the equivariant K-theory KG*(G) for a simply connected Lie group G (acting on itself by conjugation). We prove that KG*(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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