Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux
Fuente:
arXiv
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| Hauptverfasser: | , |
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| Format: | Preprint |
| Veröffentlicht: |
2024
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| _version_ | 1866917392758603776 |
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| author | Early, Nick Li, Jian-Rong |
| author_facet | Early, Nick Li, Jian-Rong |
| contents | Finite dimensional simple modules of quantum affine algebras of type A correspond to semistandard Young tableaux of rectangular shapes. In this paper, we classify all prime modules corresponding to 2-column semistandard Young tableaux, up to a conjectural property. Moreover, we give a conjectural sufficient condition for a module corresponding to a tableau with more than two columns to be prime. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2406_16879 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux Early, Nick Li, Jian-Rong Quantum Algebra Finite dimensional simple modules of quantum affine algebras of type A correspond to semistandard Young tableaux of rectangular shapes. In this paper, we classify all prime modules corresponding to 2-column semistandard Young tableaux, up to a conjectural property. Moreover, we give a conjectural sufficient condition for a module corresponding to a tableau with more than two columns to be prime. |
| title | Classification of prime modules of quantum affine algebras corresponding to 2-column tableaux |
| topic | Quantum Algebra |
| url | https://arxiv.org/abs/2406.16879 |