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Finite symmetric tensor category fiber-functor adapter

Family 208: Finite symmetric tensor categories and the Verlinde tower. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Category-theory software researchers can track a faithful exact monoidal representation in a higher Verlinde category.

Applicability and commercial boundary

The level depends on the category and need not be effectively bounded; existence is not an efficient functor constructor.

Initial business decision

Research reference or conditional symbolic/verification engineering. No practical implementation, recurring buyer need or profitability has been demonstrated; a weak business bridge is explicitly deferred.

Next verification action

Inspect explicit level and data representation for a small category.

Evidence scope

The catalog statement was individually reviewed. Main-paper proof, construction effectiveness and selected formal scope comparison remain queued. No independent Lean verification was run. Source revision fd4aeeb2ee4fc729c18d98444fed42fd0529eeeb. See source metadata.

Fiber functors for finite symmetric tensor categories in positive characteristic.