Geodesic
Noncommutative symmetric functions with matrix parameters
Journal of Algebraic Combinatorics, Tome 37 (2013) no. 4, pp. 621-642.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: 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.
Keywords: combinatorics, symmetric functions, macdonald polynomials 
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     author = {Lascoux, Alain and Novelli, Jean-Christophe and Thibon, Jean-Yves},
     title = {Noncommutative symmetric functions with matrix parameters},
     journal = {Journal of Algebraic Combinatorics},
     pages = {621--642},
     publisher = {mathdoc},
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     number = {4},
     year = {2013},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/JAC_2013__37_4_a7/}
}
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Lascoux, Alain; Novelli, Jean-Christophe; Thibon, Jean-Yves. Noncommutative symmetric functions with matrix parameters. Journal of Algebraic Combinatorics, Tome 37 (2013) no. 4, pp. 621-642. http://geodesic.mathdoc.fr/item/JAC_2013__37_4_a7/