Weight Multiplicity Polynomials of multi-variable Weyl Modules
Quantum Algebra
2010-12-15 v3 Representation Theory
Abstract
This paper is based on the observation that dimension of weight spaces of multi-variable Weyl modules depends polynomially on the highest weight (Conjecture 1). We support this conjecture by various explicit answers for up to three variable cases and discuss the underlying combinatorics.
Cite
@article{arxiv.0806.0170,
title = {Weight Multiplicity Polynomials of multi-variable Weyl Modules},
author = {S. Loktev},
journal= {arXiv preprint arXiv:0806.0170},
year = {2010}
}
Comments
LaTeX, 14 pages, 1 figure; Final version, to appear in Moscow Math. Journal