On the classification of certain fusion categories

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V. Drinfeld, S. Gelaki, D. Nikshych, and V. Ostrik. Group-theoretical properties of nilpotent modular categories . http://arxiv.org/abs/0704.0195v2

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2007

Later among the works it cites.

P. Etingof, D. Nikshych, and V. Ostrik. Weakly group-theoretical and solvable fusion categories. http://arxiv.org/abs/0809.3031v1

Original

2008

Closest in time.