Fiber functors for finite symmetric tensor categories in positive characteristic
We prove the finite case of the Benson–Etingof–Ostrik conjecture: every finite symmetric tensor category over an algebraically closed field k of characteristic p > 0 admits a k-linear exact faithful strong symmetric monoidal functor to a finite higher Verlinde category \(\mathop{\mathrm{Ver}}\nolimits _{p^n}(k)\). The result includes characteristic two, and the level n may depend on the category.
Cite
@misc{OAI:Fiber-functors-for-finite-symmetric-tensor-categories-in-positive-characteristic-September-24-2026,
author = {{OpenAI}},
title = {{Fiber functors for finite symmetric tensor categories in positive characteristic}},
howpublished = {OpenAI Math Release preprint
\href{https://github.com/openai/math/blob/main/preprints/Fiber-functors-for-finite-symmetric-tensor-categories-in-positive-characteristic-September-24-2026/paper.pdf}{OAI:Fiber-functors-for-finite-symmetric-tensor-categories-in-positive-characteristic-September-24-2026}},
year = {2026}
}