Equivariant K-theory of compactifications of algebraic groups
Identifieur interne : 000A13 ( Main/Exploration ); précédent : 000A12; suivant : 000A14Equivariant K-theory of compactifications of algebraic groups
Auteurs : V. Uma [Inde]Source :
- Transformation Groups [ 1083-4362 ] ; 2007-06-01.
Abstract
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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DOI: 10.1007/s00031-006-0042-3
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