Noncommutative symmetric functions with matrix parameters
arXiv:1110.3209 · doi:10.1007/s10801-012-0378-9
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.
21 pages