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On fusion rules and solvability of a fusion category
Fecha
2017-01Registro en:
Natale, Sonia Lujan; Escañuela Gonzalez, Melisa Gisselle; On fusion rules and solvability of a fusion category; De Gruyter; Journal Of Group Theory; 20; 1; 1-2017; 133-167
1433-5883
CONICET Digital
CONICET
Autor
Natale, Sonia Lujan
Escañuela Gonzalez, Melisa Gisselle
Resumen
We address the question whether or not the condition on a fusion category being solvable is determined by its fusion rules. We prove that the answer is affirmative for some families of non-solvable examples arising from representations of semisimple Hopf algebras associated to exact factorizations of the symmetric and alternating groups. In the context of spherical fusion categories, we also consider the invariant provided by the S-matrix of the Drinfeld center and show that this invariant does determine the solvability of a fusion category provided it is group-theoretical.
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