Hopf algebras and congruence subgroups
著者
書誌事項
Hopf algebras and congruence subgroups
(Memoirs of the American Mathematical Society, no. 1028)
American Mathematical Society, c2012
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注記
"September 2012 , volume 219, number 1028 (first of 5 numbers)."
Includes bibliographical references (p. 125-128) and indexes
内容説明・目次
内容説明
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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