Geodesic
Pieri-type formulas for maximal isotropic Grassmannians via triple intersections
Colloquium Mathematicum, Tome 82 (1999) no. 1, pp. 49-63 Cet article a éte moissonné depuis la source Institute of Mathematics Polish Academy of Sciences

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We give an elementary proof of the Pieri-type formula in the cohomology ring of a Grassmannian of maximal isotropic subspaces of an orthogonal or symplectic vector space. This proof proceeds by explicitly computing a triple intersection of Schubert varieties. The multiplicities (which are powers of 2) in the Pieri-type formula are seen to arise from the intersection of a collection of quadrics with a linear space.
DOI : 10.4064/cm-82-1-49-63

Frank Sottile 1

1 
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Frank Sottile. Pieri-type formulas for maximal isotropic Grassmannians via triple intersections. Colloquium Mathematicum, Tome 82 (1999) no. 1, pp. 49-63. doi: 10.4064/cm-82-1-49-63

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