对称与拟对称Hall-Littlewood多项式的转移矩阵
组合数学
2013-06-20 v3
摘要
我们引入了与斜Hall-Littlewood多项式P_lambda/mu(x;t)和Hivert的拟对称Hall-Littlewood多项式G_gamma(x;t)相关的某些转移矩阵中系数的显式组合解释。具体地，我们提供了：1) Hall-Littlewood多项式P_lambda、单项式拟对称多项式M_alpha、拟对称Schur多项式S_alpha和峰拟对称函数K_alpha的G-展开；2) 用F_alpha展开P_lambda/mu。通过引入星号表来促进P_lambda/mu的F-展开。
引用
@article{arxiv.1202.3411,
title = {Transition matrices for symmetric and quasisymmetric Hall-Littlewood polynomials},
author = {Nicholas A. Loehr and Luis G. Serrano and Gregory S. Warrington},
journal= {arXiv preprint arXiv:1202.3411},
year = {2013}
}
备注
28 pages; added brief discussion of the Hall-Littlewood Q', typos corrected, added references in response to referee suggestions