Contents Online
Journal of Combinatorics
Volume 3 (2012)
Number 3
Expansion of $k$-Schur functions for maximal rectangles within the affine nilCoxeter algebra
Pages: 563 – 589
DOI: https://dx.doi.org/10.4310/JOC.2012.v3.n3.a9
Authors
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.
Published 19 February 2013