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RESEARCH PRODUCT

An infinite family of counterexamples to a conjecture on positivity

J. Miquel Martínez

subject

Frobenius–Schur indicatorPure mathematicsAlgebra and Number TheoryConjectureConformal field theoryTensor (intrinsic definition)Order (group theory)Geometry and TopologyCategory theoryMathematical PhysicsAnalysisMathematicsCounterexample

description

Recently, G. Mason has produced a counterexample of order 128 to a conjecture in conformal field theory and tensor category theory in [Ma]. Here we easily produce an infinite family of counterexamples, the smallest of which has order 72.

https://doi.org/10.4171/rsmup/79