Classification of Integral Modular Categories of Frobenius–Perron Dimension pq 4 and p 2 q 2 Academic Article uri icon

abstract

  • © 2014 Canadian Mathematical Society. We classify integral modular categories of dimension pq4 and p2q2, where p and q are distinct primes. We show that such categories are always group-theoretical, except for categories of dimension 4q2. In these cases there are well-known examples of non-group-theoretical categories, coming from centers of Tambara-Yamagami categories and quantum groups. We show that a non-grouptheoretical integral modular category of dimension 4q2 is either equivalent to one of these well-known examples or is of dimension 36 and is twist-equivalent to fusion categories arising froma certain quantum group.

author list (cited authors)

  • Bruillard, P., Galindo, C., Hong, S., Kashina, Y., Naidu, D., Natale, S., Plavnik, J. Y., & Rowell, E. C.

citation count

  • 8

publication date

  • December 2014