On the graded center of graded categories

Autores: Vladimir Turaev, Alexis Virelizier
Localización: Journal of pure and applied algebra, ISSN 0022-4049, Vol. 217, Nº 10, 2013, págs. 1895-1941
Idioma: inglés
DOI: 10.1016/j.jpaa.2013.01.011
Enlaces
- Texto completo
Resumen
- We study the G-centers of G-graded monoidal categories where G is an arbitrary group.
  
  We prove that for any spherical G-fusion category C over an algebraically closed field such that the dimension of the neutral component of C is non-zero, the G-center of C is a G-modular category. This generalizes a theorem of M. Müger corresponding to G = 1. We also exhibit interesting objects of the G-center.