Skew quantum Murnaghan-Nakayama rule
Combinatorics
2011-01-28 v1
Abstract
In this paper, we extend recent results of Assaf and McNamara on skew Pieri rule and skew Murnaghan-Nakayama rule to a more general identity, which gives an elegant expansion of the product of a skew Schur function with a quantum power sum function in terms of skew Schur functions. We give two proofs, one completely bijective in the spirit of Assaf-McNamara's original proof, and one via Lam-Lauve-Sotille's skew Littlewood-Richardson rule. We end with some conjectures for skew rules for Hall-Littlewood polynomials.
Cite
@article{arxiv.1101.5250,
title = {Skew quantum Murnaghan-Nakayama rule},
author = {Matjaz Konvalinka},
journal= {arXiv preprint arXiv:1101.5250},
year = {2011}
}
Comments
19 pages, 16 figures