Artículo
On fusion rules and solvability of a fusion category
Fecha de publicación:
01/2017
Editorial:
De Gruyter
Revista:
Journal Of Group Theory
ISSN:
1433-5883
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
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.
Palabras clave:
Fusion Category
,
Solvability
,
Fusion Rules
,
Braided Fusion Category
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Colecciones
Articulos(CIEM)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Articulos de CENT.INV.Y ESTUDIOS DE MATEMATICA DE CORDOBA(P)
Citación
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
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