2005/12/09 by V. Uma, Uma, V.
Mathematics · #14L30 #14M17 #19L47 #Advanced Algebra and Geometry #Algebraic Geometry (math.AG) #Algebraic Geometry and Number Theory #Algebraic structures and combinatorial models #FOS: Mathematics #K-Theory and Homology (math.KT)
paper · pdf · doi:10.48550/arxiv.math/0512187
openalex publication_date 2005/12/09 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
In this article 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.