Path description for $q$-characters of fundamental modules in type $C$
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arXiv
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| Format: | Preprint |
| Veröffentlicht: |
2022
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| _version_ | 1866915177784410112 |
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| author | Jang, Il-Seung |
| author_facet | Jang, Il-Seung |
| contents | In this paper, we investigate the behavior of monomials in the $q$-characters of the fundamental modules over a quantum affine algebra of untwisted type C. As a result, we give simple closed formulae for the $q$-characters of the fundamental modules in terms of sequences of vertices in $\mathbb{R}^2$, so-called paths, with an admissible condition. This may be viewed as a type C analog of the path description of $q$-characters in types A and B due to Mukhin--Young. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2211_03303 |
| institution | arXiv |
| publishDate | 2022 |
| record_format | arxiv |
| spellingShingle | Path description for $q$-characters of fundamental modules in type $C$ Jang, Il-Seung Quantum Algebra Combinatorics 17B37, 17B65, 05E10 In this paper, we investigate the behavior of monomials in the $q$-characters of the fundamental modules over a quantum affine algebra of untwisted type C. As a result, we give simple closed formulae for the $q$-characters of the fundamental modules in terms of sequences of vertices in $\mathbb{R}^2$, so-called paths, with an admissible condition. This may be viewed as a type C analog of the path description of $q$-characters in types A and B due to Mukhin--Young. |
| title | Path description for $q$-characters of fundamental modules in type $C$ |
| topic | Quantum Algebra Combinatorics 17B37, 17B65, 05E10 |
| url | https://arxiv.org/abs/2211.03303 |