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arXiv:0804.0944 [math.CO]AbstractReferencesReviewsResources

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

N. Bergeron, F. Descouens, M. Zabrocki

Published 2008-04-07Version 1

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.

Journal: Discrete Math. 309 (2009), no. 16, 5092-5105
Categories: math.CO
Subjects: 16W30, 05E05
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