On the classification of the Grothendieck rings of non-self-dual modular categories Academic Article uri icon


  • We develop a symbolic computational approach to classifying low-rank modular fusion categories, up to finite ambiguity. By a generalized form of Ocneanu rigidity due to Etingof, Ostrik and Nikshych, it is enough to classify modular fusion algebras of a given rank-that is, to determine the possible Grothendieck rings with modular realizations. We use this technique to classify modular categories of rank at most 5 that are non-self-dual, i.e. those for which some object is not isomorphic to its dual object. 2009 Elsevier Inc.

published proceedings


author list (cited authors)

  • Hong, S., & Rowell, E.

citation count

  • 7

complete list of authors

  • Hong, Seung-moon||Rowell, Eric

publication date

  • January 2010