The Drinfeld center of an oligomorphic tensor category

Pavel Etingof; Andrew Snowden

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arXiv · 2604.00290

The Drinfeld center of an oligomorphic tensor category

Pavel Etingof·Andrew Snowden

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Abstract

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.

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Pavel Etingof, Andrew Snowden. 2026-03-31. The Drinfeld center of an oligomorphic tensor category. https://arxiv.org/abs/2604.00290

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