Answer by Vladimir Dotsenko for cohomology of the partial flag variety...
I think this might be so standard that there is no obvious reference. The cohomology has a basis of Schubert classes. In the adjoint case, Schubert classes are indexed by the Weyl group orbit of the...
View Articlecohomology of the partial flag variety associated with the minimal nilpotent...
Let $G$ be a semi-simple group over complex number; for simplicity let us assume that it is simply laced. Let $X$ be the orbit of the highest root line in the adjoint representation of $G$. This is a...
View ArticleAnswer by Steven Sam for Cohomology of the partial flag variety associated...
The Poincaré polynomial of $G/P$ in general is $\sum_w q^{\ell(w)}$ where the sum is over all minimal length coset representatives of $W_G/W_P$ (here $W_G$ is the Weyl group of $G$ and $W_P$ is the...
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