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A family of isomorphic fusion algebras of twisted quantum doubles of finite groups

✍ Scribed by Christopher D. Goff

Publisher: Elsevier Science
Year: 2003
Tongue: English
Weight: 168 KB
Volume: 259
Category: Article
ISSN: 0021-8693
DOI: 10.1016/s0021-8693(02)00565-3

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✦ Synopsis

Let D ω (G) be the twisted quantum double of a finite group, G, where ω ∈ Z 3 (G, C * ). For each n ∈ N, there exists an ω such that D(G) and D ω (E) have isomorphic fusion algebras, where G is an extraspecial 2-group with 2 2n+1 elements, and E is an elementary abelian group with |E| = |G|.

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