Manuscript OpenAI@2026-10-07 · OpenAI.tex · remark · 6a931f8f
Remark: Family 208. The finite Benson–Etingof–Ostrik conjecture
Family claims › Algebra · lines 1412–1417
OpenAI@2026-10-07#rem:oai-208
Proves that every finite symmetric tensor category over an algebraically closed field of characteristic admits a -linear exact faithful strong symmetric monoidal fiber functor to a higher Verlinde category . The level may depend on the category, and the theorem includes characteristic two, resolving the finite case of the Benson–Etingof–Ostrik conjecture.
The authors are OpenAI. This companion does not verify the proof. The claim is not a theorem of the Enter series and not a premise of any registered sheet. It does not close O.1. O.1 stays NOT_CLOSED. It is not a de Sitter state and not the QdS external-leg scheme. No quantum coefficient is admitted. No compilation is asserted.
Nearby in this section
- remark: Remark: Family 193. Serre's intersection-multiplicity conjecture
- remark: Remark: Family 194. Lech's multiplicity conjecture
- remark: Remark: Family 195. A counterexample to the small Cohen–Macaulay module conjecture
- remark: Remark: Family 196. A counterexample to Kaplansky's zero-divisor conjecture
- remark: Remark: Family 197. Nonsofic groups and group-ring counterexamples
- remark: Remark: Family 198. A counterexample to the little finitistic-dimension conjecture
- remark: Remark: Family 199. Counterexamples to conjectures of Auslander–Reiten, Tachikawa, and Nakayama
- remark: Remark: Family 200. Eisenbud–Green–Harris and lex-plus-powers in characteristic zero