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S 4 symmetry of 6j symbols and Frobenius–Schur indicators in rigid monoidal C* categories
J. Fuchs, A. Ch. Ganchev, K. Szlachányi, P. Vecsernyés
Source abstract
We show that a left-rigid monoidal C* category with irreducible monoidal unit is also a sovereign and spherical category. Defining a Frobenius–Schur-type indicator we obtain selection rules for the fusion coefficients of irreducible objects. As a main result we prove S4 invariance of 6j symbols in such a category.
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