Noncommutative symmetric functions and quasi-symmetric functions with two and more paramters

Abstract

We define two-parameter families of noncommutative symmetric functions and quasi-symmetric functions, which appear to be the proper analogues of the Macdonald symmetric functions in these settings.

13 pages, LaTex

References in corpus (1)

• On harmonic elements for semi-simple Lie algebra

Cited by in corpus (4)

• 0-Hecke algebra action on the Stanley-Reisner ring of the Boolean algebra
• q and q,t-Analogs of Non-commutative Symmetric Functions
• Combinatorial Hopf algebras, noncommutative Hall-Littlewood functions, and permutation tableaux
• A non-commutative generalization of $k$-Schur functions