Modular group images arising from drinfeld doubles of dihedral groups

Publication Title

International Electronic Journal of Algebra

E-ISSN

13066048

Document Type

Article

Abstract

We show that the image of the representation of the modular group SL(2, Z) arising from the representation category Rep(D(G)) of the Drinfeld double D(G) is isomorphic to the group PSL(2, Z/nZ) × S3, when G is either the dihedral group of order 2n or the dihedral group of order 4n for some odd integer n ≥ 3.

First Page

156

Last Page

174

Publication Date

1-1-2020

DOI

10.24330/ieja.768210

Keywords

Congruence subgroup, Drinfeld double, Modular group, Modular tensor category

Department

Department of Mathematical Sciences

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