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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/2407.08004 |
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| _version_ | 1866917719162486784 |
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| author | Chari, Vyjayanthi Grimley, Lauren Lin, Zongzhu Mangum, Chad R. Uhl, Christine Wilson, Evan |
| author_facet | Chari, Vyjayanthi Grimley, Lauren Lin, Zongzhu Mangum, Chad R. Uhl, Christine Wilson, Evan |
| contents | We state and prove an analog of the Schur-Weyl duality for a quotient of the classical $2$-toroidal Lie algebra of type $A$. We then provide a method to extend this duality to the $m$-toroidal case, $m > 2$. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2407_08004 |
| institution | arXiv |
| publishDate | 2024 |
| record_format | arxiv |
| spellingShingle | Schur-Weyl Duality for Toroidal Algebras of Type $A$ Chari, Vyjayanthi Grimley, Lauren Lin, Zongzhu Mangum, Chad R. Uhl, Christine Wilson, Evan Representation Theory We state and prove an analog of the Schur-Weyl duality for a quotient of the classical $2$-toroidal Lie algebra of type $A$. We then provide a method to extend this duality to the $m$-toroidal case, $m > 2$. |
| title | Schur-Weyl Duality for Toroidal Algebras of Type $A$ |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2407.08004 |