Pieri rule for the affine flag variety
Combinatorics
2015-04-16 v2 Algebraic Geometry
Abstract
We prove the affine Pieri rule for the cohomology of the affine flag variety conjectured by Lam, Lapointe, Morse and Shimozono. We study the cap operator on the affine nilHecke ring that is motivated by Kostant and Kumar's work on the equivariant cohomology of the affine flag variety. We show that the cap operators for Pieri elements are the same as Pieri operators defined by Berg, Saliola and Serrano. This establishes the affine Pieri rule.
Cite
@article{arxiv.1406.4246,
title = {Pieri rule for the affine flag variety},
author = {Seung Jin Lee},
journal= {arXiv preprint arXiv:1406.4246},
year = {2015}
}
Comments
14 pages, Fixed typos