Expansion of $k$-Schur functions for maximal $k$-rectangles within the affine nilCoxeter algebra
Combinatorics
2016-11-08 v2 Representation Theory
Abstract
We give several explicit combinatorial formulas for the expansion of k-Schur functions indexed by maximal rectangles in terms of the standard basis of the affine nilCoxeter algebra. Using our result, we also show a commutation relation of k-Schur functions corresponding to rectangles with the generators of the affine nilCoxeter algebra.
Keywords
Cite
@article{arxiv.1107.3610,
title = {Expansion of $k$-Schur functions for maximal $k$-rectangles within the affine nilCoxeter algebra},
author = {Chris Berg and Nantel Bergeron and Hugh Thomas and Mike Zabrocki},
journal= {arXiv preprint arXiv:1107.3610},
year = {2016}
}
Comments
to appear in Journal of Combinatorics, 28 pages