A family of isomorphic fusion algebras of twisted quantum doubles of finite groups
type: Item
instance of: scholarly article
title: A family of isomorphic fusion algebras of twisted quantum doubles of finite groups
zbMATH Open document ID: 1023.17009
DOI: 10.1016/S0021-8693(02)00565-3
author: Christopher Goff
published in: Journal of Algebra
publication date: 2003-04-02T00:00:00Z
review text: Let \(G\) be an extraspecial 2-group with \(2^{2n+1}\) elements. It is proved that there exist an elementary abelian group \(E\) with \(|E|=|G|\), and \(\omega \in Z^3(E,{\mathbb C}^*)\), such that the quantum double \(D(G)\) and the twisted quantum double \(D^{\omega}(E)\) have isomorphic fusion algebras.
Mathematics Subject Classification ID: 17B37
Mathematics Subject Classification ID: 16W30
Mathematics Subject Classification ID: 17B69
zbMATH DE Number: 1891331
zbMATH Keywords: quantum double
zbMATH Keywords: twisted quantum double
zbMATH Keywords: extraspecial group
zbMATH Keywords: elementary abelian group
zbMATH Keywords: fusion algebra
reviewed by: Sorin Dascalescu
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 1891331