Weight Multiplicity Polynomials of multi-variable Weyl Modules
classification
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weightconjecturemodulesmulti-variableweylanswerscasescombinatorics
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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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