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arXiv:2409.02341 [math.RT]AbstractReferencesReviewsResources

Combinatorial description of Lusztig $q$-weight multiplicity

Seung Jin Lee

Published 2024-09-04Version 1

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.

Comments: 7 pages
Categories: math.RT, math.CO
Subjects: 05E10
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