Pieri-type formulas for maximal isotropic Grassmannians via triple intersections
Sottile, Frank
Colloquium Mathematicae, Tome 79 (1999), p. 49-63 / Harvested from The Polish Digital Mathematics Library
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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.

Publié le : 1999-01-01
EUDML-ID : urn:eudml:doc:210750 
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     author = {Frank Sottile},
     title = {Pieri-type formulas for maximal isotropic Grassmannians via triple intersections},
     journal = {Colloquium Mathematicae},
     volume = {79},
     year = {1999},
     pages = {49-63},
     zbl = {0977.14023},
     language = {en},
     url = {http://dml.mathdoc.fr/item/bwmeta1.element.bwnjournal-article-cmv82i1p49bwm}
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Sottile, Frank. Pieri-type formulas for maximal isotropic Grassmannians via triple intersections. Colloquium Mathematicae, Tome 79 (1999) pp. 49-63. http://gdmltest.u-ga.fr/item/bwmeta1.element.bwnjournal-article-cmv82i1p49bwm/

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