A non-commutative generalization of $k$-Schur functions
Combinatorics
2016-11-08 v1
Abstract
We introduce non-commutative analogues of -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.
Cite
@article{arxiv.0804.0944,
title = {A non-commutative generalization of $k$-Schur functions},
author = {N. Bergeron and F. Descouens and M. Zabrocki},
journal= {arXiv preprint arXiv:0804.0944},
year = {2016}
}