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math.QA2009
Fusion categories and homotopy theory
Pavel Etingof, Dmitri Nikshych, Victor Ostrik +1
We apply the yoga of classical homotopy theory to classification problems of G-extensions of fusion and braided fusion categories, where G is a finite group. Namely, we reduce such…
math.QA2009★ 1 cited
The small quantum group as a quantum double
Pavel Etingof, Shlomo Gelaki
We prove that the quantum double of the quasi-Hopf algebra A_q(g) of dimension n^{dim g} attached in arXiv:math/0403096 to a simple complex Lie algebra g and a primitive root of un…