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arXiv · 2305.18230

Some fast-growing tensor categories

Andrew Snowden
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Abstract

Given a semi-simple pre-Tannakian category over a finite field, we show that (a slight modification of) its linearization over a field of characteristic 0 is also semi-simple and pre-Tannakian. The key input is a result of Kuhn on the generic representation theory of finite fields. The resulting pre-Tannakian categories have substantially faster growth than previously known examples.

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Andrew Snowden. 2023-05-29. Some fast-growing tensor categories. https://arxiv.org/abs/2305.18230

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