A Pieri-type Formula for the Equivariant Cohomology of the Flag Manifold
نویسنده
چکیده
The classical Pieri formula is an explicit rule for determining the coefficients in the expansion s1m · sλ = ∑ c 1,λ sμ , where sν is the Schur polynomial indexed by the partition ν. Since the Schur polynomials represent Schubert classes in the cohomology of the complex Grassmannian, this gives a partial description of the cup product in this cohomology. Pieri’s formula was generalized to the cohomology of the flag manifold in [S]; and in the present work we generalize this formula to the T -equivariant cohomology of the flag variety.
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