Restricting Schubert classes
Algebraic Geometry
2007-05-23 v2 Combinatorics
Abstract
Let V be a 2n-dimensional complex symplectic space. Let G' be the Lagrangian Grassmannian of maximal isotropic subspaces of V embedded via the inclusion i into the Grassmannian G of all n-dimensional subspaces of V. We discuss the restriction via i* of a Schubert class from H(G), as an integral linear combination of Schubert classes in H(G'). Among the main tools we mention Stembridge's results on shifted tableaux. Using these results and a generalization of the Macdonald-You identity from an earlier author's paper, we establish several related algebro-geometric formulas.
Cite
@article{arxiv.math/9907092,
title = {Restricting Schubert classes},
author = {Piotr Pragacz},
journal= {arXiv preprint arXiv:math/9907092},
year = {2007}
}
Comments
9 pages; AMS-TEX, misprints corrected, exposition improved