Multiplicative rule in the Grothendieck cohomology of a flag variety

Mathematics – Algebraic Geometry

Scientific paper

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To appear on J. reine angew. Math. (23 pages)

Scientific paper

In the Grothendieck cohomology of a flag variety G/H there are two canonical
additive bases, namely, the Demazure basis and the Grothendieck basis We
present explicit formulae that reduce the multiplication of these basis
elements to the Cartan numbers of G.

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