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On the Hopf algebras generated by the Yang-BaxterR-matrices

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Zeitschrift für Physik C Particles and Fields

Abstract

We reformulate the method recently proposed for constructing quasitriangular Hopf algebras of the quantum-double type from theR-matrices obeying the Yang-Baxter equations. Underlying algebraic structures of the method are elucidated and an illustration of its facilities is given. The latter produces an example of a new quasitriangular Hopf algebra. The corresponding universalℛ-matrix is presented as a formal power series.

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  1. Laboratory of Theoretical Physics, Joint Institute for Nuclear Research, 141980, Dubna, Moscow Region, Russia

    A. A. Vladimirov

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  1. A. A. Vladimirov
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Vladimirov, A.A. On the Hopf algebras generated by the Yang-BaxterR-matrices. Z. Phys. C - Particles and Fields 58, 659–663 (1993). https://doi.org/10.1007/BF01553027

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  • DOI: https://doi.org/10.1007/BF01553027

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