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

Authors

Christopher D. Goff, University of the PacificFollow

Document Type

Article

Publication Title

Journal of Algebra

Department

Mathematics

ISSN

0021-8693

Volume

259

Issue

2

DOI

10.1016/S0021-8693(02)00565-3

First Page

494

Last Page

511

Publication Date

1-1-2003

Abstract

Let D^ω(G) be the twisted quantum double of a finite group, G, where ω∈Z³(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 2²ⁿ⁺¹ elements, and E is an elementary abelian group with |E|=|G|.

Creative Commons License

This work is licensed under a Creative Commons Attribution-NonCommercial-No Derivative Works 4.0 International License.

Recommended Citation

Goff, C. D. (2003). A family of isomorphic fusion algebras of twisted quantum doubles of finite groups. Journal of Algebra, 259(2), 494–511. DOI: 10.1016/S0021-8693(02)00565-3
https://scholarlycommons.pacific.edu/cop-facarticles/268