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Hopf Algebras and Congruence Subgroups Book PDF Summary

We prove that the kernel of the action of the modular group on the center of a semisimple factorizable Hopf algebra is a congruence subgroup whenever this action is linear. If the action is only projective, we show that the projective kernel 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.

Detail Book of Hopf Algebras and Congruence Subgroups PDF

Hopf Algebras and Congruence Subgroups
  • Author : Yorck Sommerhäuser
  • Release : 29 September 2024
  • Publisher : American Mathematical Soc.
  • ISBN : 9780821869130
  • Genre : Mathematics
  • Total Page : 146 pages
  • Language : English
  • PDF File Size : 8,6 Mb

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