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Symmetric representation tensor-square reference
Family 205: Saxl’s conjecture and universal tensor squares. First application triage, 9 October 2026 Australia/Brisbane.
Problem and potential new use
Representation researchers can validate support of staircase or specified universal tensor squares.
Applicability and commercial boundary
Containing all irreducibles does not compute multiplicities efficiently; exceptions n=2,4,9 and staircase sizes must remain explicit.
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 constructions and compare a finite character-table computation.
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.