Details:
Title  On the classification of the Grothendieck rings of nonselfdual modular categories  Author(s)  Seungmoon Hong, Eric Rowell  Type  Article in Journal  Abstract  We develop a symbolic computational approach to classifying lowrank 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 nonselfdual, i.e. those for which some object is not isomorphic to its dual object.  Keywords  Modular categories, Fusion algebras, Gröbner bases, Galois groups  ISSN  00218693 
URL 
http://www.sciencedirect.com/science/article/pii/S0021869309006784 
Language  English  Journal  Journal of Algebra  Volume  324  Number  5  Pages  1000  1015  Year  2010  Note  Computational Algebra  Edition  0  Translation 
No  Refereed 
No 
