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

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

2008-04-07

arxiv.org/abs/0804.0944v1

Discrete Math. 309 (2009), no. 16, 5092-5105

Mathematics

Combinatorics

Scientific paper

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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