Hopf Algebras and Congruence Subgroups (Memoirs of the American Mathematical Society)

Hopf Algebras and Congruence Subgroups (Memoirs of the American Mathematical Society)

By: Yongchang Zhu (author), Yorck Sommerhauser (author)Paperback

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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.

About Author

Yorck Sommerhauser is at the University of South Alabama, Mobile, AL, USA. Yongchang Zhu is at Hong Kong University of Science & Technology, Kowloon, Hong Kong.

Product Details

  • ISBN13: 9780821869130
  • Format: Paperback
  • Number Of Pages: 134
  • ID: 9780821869130
  • ISBN10: 0821869132

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