CIEM   05476
CENTRO DE INVESTIGACION Y ESTUDIOS DE MATEMATICA
Unidad Ejecutora - UE
congresos y reuniones científicas
Título:
On weakly group-theoretical non-degenerate braided fusion categories
Autor/es:
NATALE, S.
Lugar:
Viena
Reunión:
Workshop; Modern trends in topological quantum field theory; 2014
Institución organizadora:
Erwin Schrödinger Institute
Resumen:
A fusion category is called weakly group-theoretical if it is
tensor Morita equivalent to a nilpotent fusion category. It is conjectured
that every fusion category of integer Frobenius-Perron dimension is weakly
group-theoretical. We shall present a result concerning the class of a
braided non-degenerate weakly group-theoretical fusion category in the Witt
group introduced recently by Davydov, Müger, Nikshych and Ostrik.
We shall also give some sufficient conditions for a braided fusion
category to be weakly group-theoretical or solvable in terms of the
factorization of its Frobenius-Perron dimension and the Frobenius-Perron
dimensions of its simple objects.