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ON SOME NONCOMMUTATIVE SYMMETRIC FUNCTIONS ANALOGOUS TO HALL–LITTLEWOOD AND MACDONALD POLYNOMIALS

JEAN-CHRISTOPHE NOVELLI

Laboratoire d'Informatique Gaspard-Monge, Université Paris-Est Marne-la-Vallée, 77454 Marne-la-Vallée Cedex 2, France

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LENNY TEVLIN

Liberal Studies, New York University, 726 Broadway, New York, N. Y. 10003, USA

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JEAN-YVES THIBON

Laboratoire d'Informatique Gaspard-Monge, Université Paris-Est Marne-la-Vallée, 77454 Marne-la-Vallée Cedex 2, France

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https://doi.org/10.1142/S0218196713400092Cited by:3 (Source: Crossref)

Abstract

We investigate the connections between various noncommutative analogues of Hall–Littlewood and Macdonald polynomials, and define some new families of noncommutative symmetric functions depending on two sequences of parameters.

Dedicated to Christophe Reutenauer on the occasion of his 60th birthday

Keywords:

AMSC: 05E05, 16T30

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