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More examples of bicrossproduct and double cross product Hopf algebras

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Abstract

We construct examples of bicrossproducts and double cross products of quantum groupsă(R) associated to general matrix solutionsR of the Quantum Yang-Baxter Equations. We also describe iterated double cross products of quantum groups. In the course of constructingă(R) we are led to introduce a suitable notion of mutually dual Hopf algebras and a dual quantum groupŬ(R).

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Authors and Affiliations

  1. Department of Mathematics and Computer Science, University College of Swansea, SA2 8PP, Singleton Park, Wales, U.K.

    Shahn Majid

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  1. Shahn Majid
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Work supported by SERC Research Assistantship.

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Majid, S. More examples of bicrossproduct and double cross product Hopf algebras. Israel J. Math. 72, 133–148 (1990). https://doi.org/10.1007/BF02764616

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  • DOI: https://doi.org/10.1007/BF02764616

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