Weight Multiplicity Polynomials of multi-variable Weyl Modules
arXiv:0806.0170
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.
LaTeX, 14 pages, 1 figure; Final version, to appear in Moscow Math. Journal