Modular group images arising from drinfeld doubles of dihedral groups
International Electronic Journal of Algebra
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.
Congruence subgroup, Drinfeld double, Modular group, Modular tensor category
Naidu, Deepak, "Modular group images arising from drinfeld doubles of dihedral groups" (2020). NIU Bibliography. 265.
Department of Mathematical Sciences