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Haibao Duan

Multiplicative rule in the Grothendieck cohomology of a flag variety

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.

Journal fur die reine und angewandte Mathematik (Crelles Journal), Walter de Gruyter

Print ISSN: 0075-4102
Volume: 2006, 11/2006
Pages: 157 - 176

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