# Pieri-type formulas for maximal isotropic Grassmannians via triple intersections

Colloquium Mathematicae (1999)

- Volume: 82, Issue: 1, page 49-63
- ISSN: 0010-1354

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topSottile, Frank. "Pieri-type formulas for maximal isotropic Grassmannians via triple intersections." Colloquium Mathematicae 82.1 (1999): 49-63. <http://eudml.org/doc/210750>.

@article{Sottile1999,

abstract = {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.},

author = {Sottile, Frank},

journal = {Colloquium Mathematicae},

keywords = {Schubert varieties; isotropic grassmannians; triple intersections; Pieri formulas; intersection multiplicities},

language = {eng},

number = {1},

pages = {49-63},

title = {Pieri-type formulas for maximal isotropic Grassmannians via triple intersections},

url = {http://eudml.org/doc/210750},

volume = {82},

year = {1999},

}

TY - JOUR

AU - Sottile, Frank

TI - Pieri-type formulas for maximal isotropic Grassmannians via triple intersections

JO - Colloquium Mathematicae

PY - 1999

VL - 82

IS - 1

SP - 49

EP - 63

AB - 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.

LA - eng

KW - Schubert varieties; isotropic grassmannians; triple intersections; Pieri formulas; intersection multiplicities

UR - http://eudml.org/doc/210750

ER -

## References

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