On inequalities for normalized Schur functions
Combinatorics
2015-07-21 v3 Representation Theory
Abstract
We prove a conjecture of Cuttler et al.~[2011] [A. Cuttler, C. Greene, and M. Skandera; \emph{Inequalities for symmetric means}. European J. Combinatorics, 32(2011), 745--761] on the monotonicity of \emph{normalized Schur functions} under the usual (dominance) partial-order on partitions. We believe that our proof technique may be helpful in obtaining similar inequalities for other symmetric functions.
Cite
@article{arxiv.1502.04753,
title = {On inequalities for normalized Schur functions},
author = {Suvrit Sra},
journal= {arXiv preprint arXiv:1502.04753},
year = {2015}
}
Comments
This version fixes the error of the previous one