Hopf Algebras and Congruence Subgroups

Details Hopf Algebras and Congruence Subgroups Hopf Algebras and Congruence Subgroups

2007-10-03

arxiv.org/abs/0710.0705v2

Mathematics

Rings and Algebras

130 pages. Many new results added, remark by D. Nikshych included. See also http://www.southalabama.edu/mathstat/personal_page

Scientific paper

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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