THE BRAIDED STRUCTURES FOR T-SMASH PRODUCT HOPF ALGEBRAS

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International Electronic Journal of Algebra
Volume:1 Issue:1
THE BRAIDED STRUCTURES FOR T-SMASH PRODUCT HOPF ALGEBRAS

THE BRAIDED STRUCTURES FOR T-SMASH PRODUCT HOPF ALGEBRAS

Authors : Zhengming Jiao, Robert Wisbauer

Pages : 30-45

View : 8 | Download : 11

Publication Date : 2007-06-01

Article Type : Research Paper

Abstract :As a dual concept of quasitriangular bialgebra, braided bialgebras were introduced by Larson and Towber. The braided structures of ω-smash coproduct Hopf algebras have been investigated recently by the authors. Here we study the braided structures of T-smash product Hopf algebras BonT H as constructed by Caenepeel, Ion, Militaru and Zhu. Necessary and sufficient conditions for T-smash product Hopf algebras to be braided Hopf algebras are given in terms of properties of their components. We apply our results to discuss some special cases. In particular, braided structures of the Drinfeld double Dinsert ignore into journalissuearticles values(H); and of H4onT RZ2 = H4 ∗RZ2 insert ignore into journalissuearticles values(skew-group ring); are constructed.
Keywords : Braided Hopf algebra, T smash product Hopf algebra

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