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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2605.18369 |
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| _version_ | 1866911694166425600 |
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| author | Rui, Yao Zhixiang, Wu |
| author_facet | Rui, Yao Zhixiang, Wu |
| contents | We realize the embedding functor from pseudotensor category to tensor category in a purely algebraic setting when the pseudotensor category is the category $\mathcal{M}(H)$ of left $H$-modules, which is originally defined by Beilinson and Drinfeld. Then we use operadic methods to construct the Schur functor and free object in the tensor category. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2605_18369 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | Embedding of pseudotensor category Rui, Yao Zhixiang, Wu Quantum Algebra Category Theory Representation Theory 18M70, 16T05 We realize the embedding functor from pseudotensor category to tensor category in a purely algebraic setting when the pseudotensor category is the category $\mathcal{M}(H)$ of left $H$-modules, which is originally defined by Beilinson and Drinfeld. Then we use operadic methods to construct the Schur functor and free object in the tensor category. |
| title | Embedding of pseudotensor category |
| topic | Quantum Algebra Category Theory Representation Theory 18M70, 16T05 |
| url | https://arxiv.org/abs/2605.18369 |