Equivariant K-theory of compactifications of algebraic groups |
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Authors: | V Uma |
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Institution: | (1) Department of Mathematics, Indian Institute of Technology, Madras, Chennai-600 036, India |
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Abstract: | In this paper we describe the G × G-equivariant K-ring of X, where X is a regular compactification of a connected complex
reductive algebraic group G. Furthermore, in the case when G is a semisimple group of adjoint
type, and X its wonderful compactification, we describe its ordinary K-ring K(X). More precisely, we prove that K(X) is a
free module over K(G/B) of rank the cardinality of the Weyl group. We further give an explicit basis of K(X) over K(G/B),
and also determine the structure constants with respect to this basis. |
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Keywords: | |
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