Title of article :
MODULAR GROUP IMAGES ARISING FROM DRINFELD DOUBLES OF DIHEDRAL GROUPS
Author/Authors :
Naidu, Deepak Department of Mathematical Sciences - Northern Illinois University DeKalb, USA
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
Keywords :
Drinfeld double , modular tensor category , modular group , congruence subgroup
Journal title :
International Electronic Journal of Algebra
