Equivariant K-Theory of Compact Connected Lie Groups Dedicated to Daniel Quillen on the Occasion of his Sixtieth Birthday |
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| Authors: | Jean-Luc Brylinski and Bin Zhang |
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| Institution: | (1) Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, U.S.A.;(2) Department of Mathematics, The Pennsylvania State University, University Park, PA, 16802, U.S.A. |
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| Abstract: | We compute the equivariant K-theory K
G
*
(G)for a compact connected Lie group Gsuch that  1
(G)is torsion free (where Gacts 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 compact connected Lie group Gwith 1
(G)torsion, namely PSU(3), and compute the corresponding equivariant K-theory. |
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| Keywords: | equivariant K-theory compact Lie groups Grothendieck differentials representation ring |
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