Combinatorial description of Lusztig $q$-weight multiplicity
Fuente:
arXiv
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| Autore principale: | |
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| Natura: | Preprint |
| Pubblicazione: |
2024
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| Soggetti: | |
| Accesso online: | |
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| _version_ | 1866914935162798080 |
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| author | Lee, Seung Jin |
| author_facet | Lee, Seung Jin |
| contents | 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. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2409_02341 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Combinatorial description of Lusztig $q$-weight multiplicity Lee, Seung Jin Representation Theory Combinatorics 05E10 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. |
| title | Combinatorial description of Lusztig $q$-weight multiplicity |
| topic | Representation Theory Combinatorics 05E10 |
| url | https://arxiv.org/abs/2409.02341 |