English

Combinatorial description of Lusztig $q$-weight multiplicity

Representation Theory 2024-09-05 v1 Combinatorics

Abstract

We conjecture a precise relationship between Lusztig qq-weight multiplicities for type CC and Kirillov-Reshetikhin crystals. We also define gln\mathfrak{gl}_n-version of qq-weight multiplicity for type CC and conjecture the positivity.

Keywords

Cite

@article{arxiv.2409.02341,
  title  = {Combinatorial description of Lusztig $q$-weight multiplicity},
  author = {Seung Jin Lee},
  journal= {arXiv preprint arXiv:2409.02341},
  year   = {2024}
}

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7 pages