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A Family Of Isomorphic Fusion Algebras Of Twisted Quantum Doubles Of Finite Groups, Christopher Goff
A Family Of Isomorphic Fusion Algebras Of Twisted Quantum Doubles Of Finite Groups, Christopher Goff
Christopher Goff
Let D<sup>ω</sup>(G) be the twisted quantum double of a finite group, G, where ω∈Z<sup>3</sup>(G,C∗). For each n∈N, there exists an ω such that D(G) and D<sup>ω</sup>(E) have isomorphic fusion algebras, where G is an extraspecial 2-group with 2<sup>2n+1</sup> elements, and E is an elementary abelian group with |E|=|G|.