Some fast-growing tensor categories
Representation Theory
2023-05-30 v1 Category Theory
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.
Keywords
Cite
@article{arxiv.2305.18230,
title = {Some fast-growing tensor categories},
author = {Andrew Snowden},
journal= {arXiv preprint arXiv:2305.18230},
year = {2023}
}
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10 pages