Mathematics – Combinatorics
Scientific paper
2011-10-14
Mathematics
Combinatorics
21 pages
Scientific paper
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.
Lascoux Alain
Novelli Jean-Christophe
Thibon Jean-Yves
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