Integrals of Braided Hopf Algebras

نویسندگان

  • Xijing Guo
  • Shouchuan Zhang
چکیده

The faithful quasi-dual H and strict quasi-dual H ′ of an infinite braided Hopf algebra H are introduced and it is proved that every strict quasi-dual H ′ is an HHopf module. The connection between the integrals and the maximal rational Hsubmodule H of H is found. That is, H ∼= ∫ l H ⊗H is proved. The existence and uniqueness of integrals for braided Hopf algebras in the Yetter-Drinfeld category (BYD, C) are given.

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تاریخ انتشار 2005