Multiplicative rule of Schubert classes

Mathematics – Algebraic Geometry

Scientific paper

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25 pages, 1 figure

Scientific paper

10.1007/s00222-004-0394-z

Let G be a compact connected Lie group and H, the centralizer of a
one-parameter subgroup in G. Combining the ideas of Bott-Samelson resulotions
of Schubert varieties and the enumerative formula on a twisted products of
2-spheres obatained in {Du2], we obtain a closed formula for multiplying
Schubert classes in the flag manifold G/H.

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