A Combinatorial Approach to Multiplicity-Free Richardson Subvarieties of the Grassmannian
Combinatorics
2009-02-12 v1 Algebraic Geometry
Abstract
We consider Buch's rule for K-theory of the Grassmannian, in the Schur multiplicity-free cases classified by Stembridge. Using a result of Knutson, one sees that Buch's coefficients are related to Moebius inversion. We give a direct combinatorial proof of this by considering the product expansion for Grassmannian Grothendieck polynomials. We end with an extension to the multiplicity-free cases of Thomas and Yong.
Keywords
Cite
@article{arxiv.0902.1931,
title = {A Combinatorial Approach to Multiplicity-Free Richardson Subvarieties of the Grassmannian},
author = {Michelle Snider},
journal= {arXiv preprint arXiv:0902.1931},
year = {2009}
}