On some noncommutative symmetric functions analogous to Hall-Littlewood and Macdonald polynomials

Jean-Christophe Novelli (1) , Lenny Tevlin , Jean-Yves Thibon (1)

1 LIGM - Laboratoire d'Informatique Gaspard-Monge

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.

Domaines: Combinatoire [math.CO]

Jean-Christophe Novelli, Lenny Tevlin, Jean-Yves Thibon. On some noncommutative symmetric functions analogous to Hall-Littlewood and Macdonald polynomials. International Journal of Algebra and Computation, 2013, 23 (04), pp.779.1-779.20. ⟨10.1142/S0218196713400092⟩. ⟨hal-00823074⟩