Hopf Algebras and Congruence Subgroups
classification
🧮 math.RA
hep-thmath-phmath.MPmath.QAmath.RT
keywords
actioncongruencegrouphopfmodularalgebraalgebrascenter
read the original abstract
We prove that the kernel of the natural action of the modular group on the center of the Drinfel'd double of a semisimple Hopf algebra is a congruence subgroup. To do this, we introduce a class of generalized Frobenius-Schur indicators and endow it with an action of the modular group that is compatible with the original one.
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