Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: 208-01. Fiber functors for finite symmetric tensor categories in positive characteristic
Manuscript map · lines 6105–6114
OpenAI@2026-10-07#rem:oai-p-208-01
Authors: OpenAI. Family 208.
Title: Fiber functors for finite symmetric tensor categories in positive characteristic.
Abstract: 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.
This abstract is a catalogue record. It is not a verification and not a premise. It does not close O.1. O.1 stays NOT_CLOSED. No quantum coefficient is admitted. No compilation is asserted.
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