On the classification of certain fusion categories

Details On the classification of certain fusion categories On the classification of certain fusion categories

2008-12-09

arxiv.org/abs/0812.1603v2

Journal of Noncommutative Geometry, Vol 3, Issue 3, 2009 481-499

Mathematics

Quantum Algebra

Scientific paper

10.4171/JNCG/44

We advance the classification of fusion categories in two directions. Firstly, we completely classify integral fusion categories -- and consequently, semi-simple Hopf algebras -- of dimension $pq^2$, where $p$ and $q$ are distinct primes. This case is especially interesting because it is the simplest class of dimensions where not all integral fusion categories are group-theoretical. Secondly, we classify a certain family of $\ZZ/3\ZZ$-graded fusion categories, which are generalizations of the $\ZZ/2\ZZ$-graded Tambara-Yamagami categories. Our proofs are based on the recently developed theory of extensions of fusion categories.

Affiliated with

Also associated with

No associations

Rating

On the classification of certain fusion categories does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with On the classification of certain fusion categories, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and On the classification of certain fusion categories will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-281654