The 6 Vertex Model and Schubert Polynomials
组合数学
2007-05-23 v2
摘要
We enumerate staircases with fixed left and right columns. These objects correspond to ice-configurations, or alternating sign matrices, with fixed top and bottom parts. The resulting partition functions are equal, up to a normalization factor, to some Schubert polynomials.
引用
@article{arxiv.math/0610719,
title = {The 6 Vertex Model and Schubert Polynomials},
author = {Alain Lascoux},
journal= {arXiv preprint arXiv:math/0610719},
year = {2007}
}
备注
This is a contribution to the Vadim Kuznetsov Memorial Issue on Integrable Systems and Related Topics, published in SIGMA (Symmetry, Integrability and Geometry: Methods and Applications) at http://www.emis.de/journals/SIGMA/