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On some properties of quantum doubles of finite groups

โœ Scribed by Etingof, Pavel


Book ID
121208781
Publisher
Elsevier Science
Year
2013
Tongue
English
Weight
169 KB
Volume
394
Category
Article
ISSN
0021-8693

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โœ Christopher D. Goff ๐Ÿ“‚ Article ๐Ÿ“… 2003 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 168 KB

Let D ฯ‰ (G) be the twisted quantum double of a finite group, G, where ฯ‰ โˆˆ Z 3 (G, C \* ). For each n โˆˆ N, there exists an ฯ‰ such that D(G) and D ฯ‰ (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|.