Hopf Algebras and Congruence Subgroups

(Memoirs of the American Mathematical Society)

5c2dbbd53d2e1.jpg Author Yongchang Zhu and Yorck Sommerhäuser
Isbn 9780821869130
File size 977.32KB
Year 2012
Pages 134
Language English
File format PDF
Category Mathematics

Book Description:

The authors prove that the kernel of the action of the modular group on the centre of a semisimple factorisable Hopf algebra is a congruence subgroup whenever this action is linear. If the action is only projective, they show that the projective kernel is a congruence subgroup. To do this, they introduce a class of generalised Frobenius-Schur indicators and endow it with an action of the modular group that is compatible with the original one.



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