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arXiv · 0709.0785

A description based on Schubert classes of cohomology of flag manifolds

Masaki Nakagawa
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Abstract

We describe the integral cohomology rings of the flag manifolds of types B_n, D_n, G_2 and F_4 in terms of their Schubert classes. The main tool is the divided difference operators of Bernstein-Gelfand-Gelfand and Demazure. As an application, we compute the Chow rings of the corresponding complex algebraic groups, recovering thereby the results of R. Marlin.

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Masaki Nakagawa. 2008-07-25. A description based on Schubert classes of cohomology of flag manifolds. https://arxiv.org/abs/0709.0785

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