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On braided near-group categories

By Josiah Thornton

Abstract

We prove that any fusion category over $\mathbb{C}$ with exactly one non-invertible simple object is spherical. Furthermore, we classify all such categories that come equipped with a braiding.Comment: 11 page

Topics: Mathematics - Quantum Algebra
Year: 2011
OAI identifier: oai:arXiv.org:1102.4640
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