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Representations of group planar algebras
Authors:Shamindra Kumar Ghosh
Institution:Department of Mathematics and Statistics, University of New Hampshire, 151 Forest Park, Durham 03824-2609, USA
Abstract:We explicitly find out the irreducible representations of the planar algebra corresponding to the subfactor arising from the action of a finite group. We also answer the question posed by Vaughan Jones on the radius of convergence of the dimension of a representation in the affirmative for the case of group planar algebras.
Keywords:Subfactor  Planar algebra  Representation  Annular category  Quantum double
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