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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2025
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2511.15604 |
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| _version_ | 1866914164480409600 |
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| author | Ebert, Mark Rouquier, Raphael |
| author_facet | Ebert, Mark Rouquier, Raphael |
| contents | We construct a model for the tensor product of the regular 2-representation of the enveloping algebra of $\mathfrak{sl}_2^+$ with the vector 2-representation, based on the $\infty$-categorical definition of the second author. Our model contains McMillan's minimal one. Our use of an infinite family of generators provides a simpler model that we prove is equivalent to Webster's tensor product category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2511_15604 |
| institution | arXiv |
| publishDate | 2025 |
| record_format | arxiv |
| spellingShingle | Higher Tensor Product for sl2 and Webster algebras Ebert, Mark Rouquier, Raphael Representation Theory Quantum Algebra We construct a model for the tensor product of the regular 2-representation of the enveloping algebra of $\mathfrak{sl}_2^+$ with the vector 2-representation, based on the $\infty$-categorical definition of the second author. Our model contains McMillan's minimal one. Our use of an infinite family of generators provides a simpler model that we prove is equivalent to Webster's tensor product category. |
| title | Higher Tensor Product for sl2 and Webster algebras |
| topic | Representation Theory Quantum Algebra |
| url | https://arxiv.org/abs/2511.15604 |