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arXiv · 0804.0944

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

N. Bergeron·F. Descouens·M. Zabrocki
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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.

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N. Bergeron, F. Descouens, M. Zabrocki. 2008-04-07. A non-commutative generalization of $k$-Schur functions. https://doi.org/10.1016/j.disc.2009.03.022

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