Noncommutative symmetric functions with matrix parameters |
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Authors: | Alain Lascoux Jean-Christophe Novelli Jean-Yves Thibon |
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Institution: | 1. Institut Gaspard Monge, Université Paris-Est Marne-la-Vallée, 77454, Marne-la-Vallée cedex 2, France
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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. |
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