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A description based on Schubert classes of cohomology of flag manifolds
2008
Fundamenta Mathematicae
Preserved Fulltext
We describe the integral cohomology rings of the flag manifolds of types Bn, Dn, G2 and F4 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.
doi:10.4064/fm199-3-5
fatcat:rgvbmsw5pvfcjilj4ubqevecpu