A reason for fusion rules to be even
Juergen Fuchs, Ingo Runkel, Christoph Schweigert
Abstract
We show that certain tensor product multiplicities in semisimple braided sovereign tensor categories must be even. The quantity governing this behavior is the Frobenius-Schur indicator. The result applies in particular to the representation categories of large classes of groups, Lie algebras, Hopf algebras and vertex algebras.
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