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Hopf Algebras and Congruence Subgroups

Hopf Algebras and Congruence Subgroups - Memoirs of the American Mathematical Society

Paperback (30 Aug 2012)

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Publisher's Synopsis

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.

Book information

ISBN: 9780821869130
Publisher: American Mathematical Society
Imprint: American Mathematical Society
Pub date:
DEWEY: 512.55
DEWEY edition: 23
Language: English
Number of pages: 134
Weight: 226g
Height: 254mm
Width: 178mm
Spine width: 6mm