2011Journal of Qingdao University of Science and TechnologyRequires access

A Generalized Quantum Double II

Lili Chen

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Abstract

On the tensor product of two Hopf algebras,the author constructs a Hopf algebra structure.Then,the author finds a universal R-matrix,such that this Hopf algebra becomes a quasi-triangular Hopf algebra.In the end of this paper,the author describes the modules on this Hopf algebra,and defines one category which is isomorphic to the module category of this Hopf algebra.

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On the tensor product of two Hopf algebras,the author constructs a Hopf algebra structure.Then,the author finds a universal R-matrix,such that this Hopf algebra becomes a quasi-triangular Hopf algebra.In the end of this paper,the author describes the modules on this Hopf algebra,and defines one category which is isomorphic to the module category of this Hopf algebra.

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Available abstract

On the tensor product of two Hopf algebras,the author constructs a Hopf algebra structure.Then,the author finds a universal R-matrix,such that this Hopf algebra becomes a quasi-triangular Hopf algebra.In the end of this paper,the author describes the modules on this Hopf algebra,and defines one category which is isomorphic to the module category of this Hopf algebra.

Key concepts: Hopf algebra, Representation theory of Hopf algebras, Tensor algebra, Mathematics, Algebra over a field, Quantum group, Quasitriangular Hopf algebra, Tensor product

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