| N. Bergeron, F. Sotille. A Pieri-type formula for isotropic flag manifolds. MSRI Preprint 1998-050, arxiv:math.CO/9810025 |
....(0 or 1) count the number of points in the intersection of linear subspaces. A proof of the Pieri type formula for classical flag varieties [So] was based upon those ideas. Similarly, the ideas here appear in a proof of Pieri type formulas in the cohomology of isotropic flag varieties [BS]. These Pieri type formulas are due to Hiller and Boe [BH] whose proof used the Chevalley formula [C] Another proof, using the Leibnitz formula for symplectic and orthogonal divided differences, was given by Pragacz and Ratajski [PR93] These formulas also arise in the theory of projective ....
N. Bergeron and F. Sottile, A Pieri-type formula for isotropic flag manifolds. in preparation, 1998.
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N. Bergeron, F. Sotille. A Pieri-type formula for isotropic flag manifolds. MSRI Preprint 1998-050, arxiv:math.CO/9810025
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