Weight Multiplicity Polynomials of multi-variable Weyl Modules

Details Weight Multiplicity Polynomials of multi-variable Weyl Modules Weight Multiplicity Polynomials of multi-variable Weyl Modules

2008-06-02

arxiv.org/abs/0806.0170v3

Moscow Math. Journal, 10 (2010), no. 1, 215-229

Mathematics

Quantum Algebra

LaTeX, 14 pages, 1 figure; Final version, to appear in Moscow Math. Journal

Scientific paper

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.

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