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Pre-modular fusion categories of small global dimensions

2020/01/03 by Yu, Zhiqiang
#16T05 #18D10 #Category Theory (math.CT) #FOS: Mathematics #Quantum Algebra (math.QA)

paper · doi:10.48550/arxiv.2001.00785

Abstract

We first prove an analogue of Lagrange theorem for global dimensions of fusion categories, then we give a complete classifications of pre-modular fusion categories of integer global dimensions less than or equal to 10.

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