The Drinfeld center of an oligomorphic tensor category
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arXiv
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| Main Authors: | , |
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| Format: | Preprint |
| Published: |
2026
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| Subjects: | |
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| _version_ | 1866915904296583168 |
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| author | Etingof, Pavel Snowden, Andrew |
| author_facet | Etingof, Pavel Snowden, Andrew |
| contents | Recently, Harman and the second author introduced a new construction of pre-Tannakian tensor categories based on oligomorphic groups. We develop tools for analyzing the Drinfeld centers of these categories, and compute the center explicitly in a number of cases. In particular, we find several finitely tensor-generated pre-Tannakian categories (including the Delannoy category) that are identified with their own center via the canonical functor; prior to this work, we knew no such examples besides the category of vector spaces. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2604_00290 |
| institution | arXiv |
| publishDate | 2026 |
| record_format | arxiv |
| spellingShingle | The Drinfeld center of an oligomorphic tensor category Etingof, Pavel Snowden, Andrew Representation Theory Recently, Harman and the second author introduced a new construction of pre-Tannakian tensor categories based on oligomorphic groups. We develop tools for analyzing the Drinfeld centers of these categories, and compute the center explicitly in a number of cases. In particular, we find several finitely tensor-generated pre-Tannakian categories (including the Delannoy category) that are identified with their own center via the canonical functor; prior to this work, we knew no such examples besides the category of vector spaces. |
| title | The Drinfeld center of an oligomorphic tensor category |
| topic | Representation Theory |
| url | https://arxiv.org/abs/2604.00290 |