Near-Group Categories

We consider the possibility of semisimple tensor categories whose fusion rule includes exactly one noninvertible simple object, so-called near-group categories. Data describing the fusion rule is reduced to an abelian group G and a nonnegative integer k. Conditions are given, in terms of G and k, f...

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Bibliographic Details
Main Author: Siehler, Jacob A.
Other Authors: Mathematics
Format: Others
Published: Virginia Tech 2014
Subjects:
Online Access:http://hdl.handle.net/10919/26962
http://scholar.lib.vt.edu/theses/available/etd-04182003-143702/