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Multiplicative rule in the Grothendieck cohomology of a flag variety
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Haibao Duan
Published/Copyright:
November 20, 2006
Abstract
In the Grothendieck cohomology of a flag variety G/H there are two canonical additive bases, namely, the Demazure basis [M. Demazure, Désingularisation des variétés de Schubert généralisées, Ann. Sci. Éc. Norm. Sup. (4) 7 (1974), 53–88.] and the Grothendieck basis [B. Kostant and S. Kumar, T-equivariant K-theory of generalized flag varieties, J. Diff. Geom. 32 (1990), no. 2, 549–603.].
We present explicit formulae that reduce the multiplication of these basis elements to the Cartan numbers of G.
Received: 2005-06-16
Revised: 2005-11-14
Published Online: 2006-11-20
Published in Print: 2006-11-01
© Walter de Gruyter
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Articles in the same Issue
- Exterior products of zero-cycles
- Harmonic analysis on totally disconnected groups and irregularities of point distributions
- Relative cyclic homology of square zero extensions
- Weighted Fano threefold hypersurfaces
- Surfaces expanding by the inverse Gauß curvature flow
- Symplectic singularities from the Poisson point of view
- Multiplicative rule in the Grothendieck cohomology of a flag variety
- Generalized double affine Hecke algebras of higher rank
- Defining relations of the tame automorphism group of polynomial algebras in three variables
