The Murnaghan-Nakayama rule for k-Schur functions
Combinatorics
2011-02-22 v2
Abstract
We prove the Murgnaghan--Nakayama rule for -Schur functions of Lapointe and Morse, that is, we give an explicit formula for the expansion of the product of a power sum symmetric function and a -Schur function in terms of -Schur functions. This is proved using the noncommutative -Schur functions in terms of the nilCoxeter algebra introduced by Lam and the affine analogue of noncommutative symmetric functions of Fomin and Greene.
Keywords
Cite
@article{arxiv.1004.4886,
title = {The Murnaghan-Nakayama rule for k-Schur functions},
author = {Jason Bandlow and Anne Schilling and Mike Zabrocki},
journal= {arXiv preprint arXiv:1004.4886},
year = {2011}
}
Comments
23 pages, updated to reflect referee comments, to appear in Journal of Combinatorial Theory, Series A