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6 votes

Cohomology ring of a flag variety and representation theory

Both the study of ordinary Schubert calculus (the ordinary, e.g. Borel-Moore, cohomology of Schubert varieties of the flag variety) and the study of Kazhdan-Lusztig theory (the intersection cohomology …
Michael Joyce's user avatar
5 votes

Cohomology Ring of the Flag Manifolds, Cartan Subalgebras, and Weyl Groups

(1) Assuming you are referring to the coefficient field for your cohomology theory, then yes, the result immediately extends to $\mathbb{R}$ and $\mathbb{C}$ coefficients. (2) Two sources are Fulton' …
Michael Joyce's user avatar