A non-commutative generalization of kk-Schur functions

preprint2008arXivOpen access

Abstract

We introduce non-commutative analogues of kk-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.

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