2013•International Journal of Algebra and ComputationOpen access

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

Jean-Christophe Novelli, Lenny Tevlin, Jean‐Yves Thibon

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.

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Key concepts: Noncommutative geometry, Symmetric function, Macdonald polynomials, Mathematics, Ring of symmetric functions, Complete homogeneous symmetric polynomial, Koornwinder polynomials, Pure mathematics