Noncommutative symmetric functions with matrix parameters
Combinatorics
2013-02-12 v1
Abstract
We define new families of noncommutative symmetric functions and quasi-symmetric functions depending on two matrices of parameters, and more generally on parameters associated with paths in a binary tree. Appropriate specializations of both matrices then give back the two-vector families of Hivert, Lascoux, and Thibon and the noncommutative Macdonald functions of Bergeron and Zabrocki.
Cite
@article{arxiv.1110.3209,
title = {Noncommutative symmetric functions with matrix parameters},
author = {Alain Lascoux and Jean-Christophe Novelli and Jean-Yves Thibon},
journal= {arXiv preprint arXiv:1110.3209},
year = {2013}
}
Comments
21 pages