2007•Chinese Annals of MathematicsRequires access

Twist Product and Twist Coproduct of Hopf Algebras

Guohua Liu

Abstract

This paper constructs a twist product and a twist coproduct,and proofs the double twist in[1].The Bicrossproduct structure introduced by Majid S.and the usual smash product are special cases of the twist product Hopf algebra.The twist Hopf algebra in[2,3]and the smash coproduct are special cases of the twist coproduct Hopf algebra. Furthermore,the conditions for the quasitriangularity of the twist coproduct Hopf algebra is given.

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Key concepts: Hopf algebra, Coproduct, Twist, Mathematics, Quasitriangular Hopf algebra, Pure mathematics, Product (mathematics), Algebra over a field