Equivariant Pieri Rules For Isotropic Grassmannians
Algebraic Geometry
2015-07-08 v2 Combinatorics
Abstract
We give a Pieri rule for the torus-equivariant cohomology of (submaximal) Grassmannians of Lie types B, C, and D. To the authors' best knowledge, our rule is the first manifestly positive formula, beyond the equivariant Chevalley formula. We also give a simple proof of the equivariant Pieri rule for the ordinary (type A) Grassmannian.
Cite
@article{arxiv.1406.4680,
title = {Equivariant Pieri Rules For Isotropic Grassmannians},
author = {Changzheng Li and Vijay Ravikumar},
journal= {arXiv preprint arXiv:1406.4680},
year = {2015}
}
Comments
26 pages