Classification of Integral Modular Categories of Frobenius-Perron Dimension pq(4) and P(2)q(2) Academic Article

abstract

• AbstractWe 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 TambaraYamagami 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.

authors

• Rowell, Eric

published proceedings

• CANADIAN MATHEMATICAL BULLETIN-BULLETIN CANADIEN DE MATHEMATIQUES

author list (cited authors)

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

citation count

• 14

complete list of authors

• Bruillard, Paul||Galindo, Cesar||Hong, Seung-Moon||Kashina, Yevgenia||Naidu, Deepak||Natale, Sonia||Yael Plavnik, Julia||Rowell, Eric C

publication date

• December 2014

publisher

• Canadian Mathematical Society  Publisher

published in

• Canadian Mathematical Bulletin  Journal

keywords

• Fusion Categories
• Modular Categories

Digital Object Identifier (DOI)

• 10.4153/CMB-2013-042-6

start page

• 721

end page

• 734

volume

• 57

issue

• 4

URL

• http://dx.doi.org/10.4153/cmb-2013-042-6