S_4-symmetry of 6j-symbols and Frobenius-Schur indicators in rigid monoidal C^*-categories
Fuchs, J. ; Ganchev, A. Ch. ; Szlachanyi, K. ; Vecsernyes, P.
arXiv, 9803038 / Harvested from arXiv
Text on arXiv
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 S_4-invariance of 6j-symbols in such a category.
Publié le : 1998-03-26
Classification:  Mathematical Physics,  Mathematics - Quantum Algebra 
@article{9803038,
     author = {Fuchs, J. and Ganchev, A. Ch. and Szlachanyi, K. and Vecsernyes, P.},
     title = {S\_4-symmetry of 6j-symbols and Frobenius-Schur indicators in rigid
  monoidal C^*-categories},
     journal = {arXiv},
     volume = {1998},
     number = {0},
     year = {1998},
     language = {en},
     url = {http://dml.mathdoc.fr/item/9803038}
}

Fuchs, J.; Ganchev, A. Ch.; Szlachanyi, K.; Vecsernyes, P. S_4-symmetry of 6j-symbols and Frobenius-Schur indicators in rigid
  monoidal C^*-categories. arXiv, Tome 1998 (1998) no. 0, . http://gdmltest.u-ga.fr/item/9803038/