A non-commutative generalization of $k$-Schur functions

Abstract

We introduce non-commutative analogues of $k$-Schur functions of Lapointe-Lascoux and Morse. We give an explicit formulas for the expansions of non-commutive functions with one and two parameters in terms of these new functions. These results are similar to the conjectures existing in the commutative case.

References in corpus (4)

• q and q,t-Analogs of Non-commutative Symmetric Functions
• Noncommutative symmetric functions and quasi-symmetric functions with two and more paramters
• Nested quantum Dyck paths and nabla(s_lambda)
• Making research on symmetric functions using MuPAD-Combinat