Classification of irreducible Harish-Chandra modules over map full toroidal Lie algebras
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arXiv
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| Format: | Preprint |
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2025
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| _version_ | 1866913993338126336 |
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| author | Mukherjee, Sudipta |
| author_facet | Mukherjee, Sudipta |
| contents | A natural higher dimensional analogue of the affine-Virasoro algebra is the full toroidal Lie algebra. In this paper, we classify irreducible Harish-Chandra modules for map full toroidal Lie algebras. We show that every such module is either a cuspidal or a highest weight module. Furthermore, we prove that they turn out to be single point evaluation modules. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2508_11448 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Classification of irreducible Harish-Chandra modules over map full toroidal Lie algebras Mukherjee, Sudipta Representation Theory 17B67, 17B66 A natural higher dimensional analogue of the affine-Virasoro algebra is the full toroidal Lie algebra. In this paper, we classify irreducible Harish-Chandra modules for map full toroidal Lie algebras. We show that every such module is either a cuspidal or a highest weight module. Furthermore, we prove that they turn out to be single point evaluation modules. |
| title | Classification of irreducible Harish-Chandra modules over map full toroidal Lie algebras |
| topic | Representation Theory 17B67, 17B66 |
| url | https://arxiv.org/abs/2508.11448 |