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Spin-group tensor invariant scale reduction

Family 204: Tensor saturation for even spin groups. First application triage, 9 October 2026 Australia/Brisbane.

Problem and potential new use

Symbolic representation teams could eliminate common weight dilation when testing type-D tensor invariants under the root-lattice condition.

Applicability and commercial boundary

This implication is not an efficient invariant finder; input weights, root-lattice membership and existing representation algorithms still matter.

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

Extract a computable tensor multiplicity example and measure whether removing dilation saves work.

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.

Tensor saturation for even spin groups.