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| Main Authors: | , , |
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| Format: | Preprint |
| Published: |
2024
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2410.08011 |
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| _version_ | 1866912913139171328 |
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| author | Arias, Juan Camilo Morales, Oscar Ramirez, Luis Enrique |
| author_facet | Arias, Juan Camilo Morales, Oscar Ramirez, Luis Enrique |
| contents | In this paper we study realizations of highest weight modules for the complex Lie algebra $\mathfrak{gl}_n$ with respect to non-standard Gelfand-Tsetlin subalgebras. We also provide sufficient conditions for such subalgebras to have a diagonalizable action on these realizations. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2410_08011 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Highest weight modules with respect to non-standard Gelfand-Tsetlin subalgebras Arias, Juan Camilo Morales, Oscar Ramirez, Luis Enrique Representation Theory 17B10 In this paper we study realizations of highest weight modules for the complex Lie algebra $\mathfrak{gl}_n$ with respect to non-standard Gelfand-Tsetlin subalgebras. We also provide sufficient conditions for such subalgebras to have a diagonalizable action on these realizations. |
| title | Highest weight modules with respect to non-standard Gelfand-Tsetlin subalgebras |
| topic | Representation Theory 17B10 |
| url | https://arxiv.org/abs/2410.08011 |