斜差分算子与Schubert多项式
量子代数
2008-04-24 v1 经典分析与常微分方程
组合数学
摘要
我们研究了斜差分算子对Schubert多项式的作用，并利用对称群上Bruhat序中的某些加权路径，给出了Schubert多项式结构常数的显式公式。我们还证明了，在特定假设下，斜差分算子能将Schubert多项式转化为具有正整数系数的多项式。
引用
@article{arxiv.0705.4546,
title = {Skew Divided Difference Operators and Schubert Polynomials},
author = {Anatol N. Kirillov},
journal= {arXiv preprint arXiv:0705.4546},
year = {2008}
}
评论
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/