Combinatorial description of Lusztig $q$ -weight multiplicity

Published 4 Sep 2024 in math.RT and math.CO | (2409.02341v1)

Abstract: We conjecture a precise relationship between Lusztig $q$ -weight multiplicities for type $C$ and Kirillov-Reshetikhin crystals. We also define $\mathfrak{gl}_n$ -version of $q$ -weight multiplicity for type $C$ and conjecture the positivity.

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Seung Jin Lee

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