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arXiv · 2409.02341

Combinatorial description of Lusztig $q$-weight multiplicity

Seung Jin Lee
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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. 2024-09-04. Combinatorial description of Lusztig $q$-weight multiplicity. https://arxiv.org/abs/2409.02341

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