Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions
Combinatorics
2015-09-14 v2
Abstract
The classical Littlewood-Richardson rule is a rule for computing coefficients in many areas, and comes in many guises. In this paper we prove two Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions that are analogous to the famed version of the classical Littlewood-Richardson rule involving Yamanouchi words. Furthermore, both our rules contain this classical Littlewood-Richardson rule as a special case. We then apply our rules to combinatorially classify symmetric skew quasisymmetric Schur functions. This answers affirmatively a conjecture of Bessenrodt, Luoto and van Willigenburg.
Keywords
Cite
@article{arxiv.1410.2934,
title = {Littlewood-Richardson rules for symmetric skew quasisymmetric Schur functions},
author = {Christine Bessenrodt and Vasu V. Tewari and Stephanie J. van Willigenburg},
journal= {arXiv preprint arXiv:1410.2934},
year = {2015}
}
Comments
26 pages, final version to appear in Journal of Combinatorial Theory, Series A