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A Closed Expression for the Universal R-Matrix in a Non-Standard Quantum Double

A. A. Vladimirov
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Abstract

In recent papers of the author, a method was developed for constructing quasitriangular Hopf algebras (quantum groups) of the quantum-double type. As a by-product, a novel non-standard example of the quantum double has been found. In the present paper, a closed expression (in terms of elementary functions) for the corresponding universal R-matrix is obtained. In reduced form, when the number of generators becomes two instead of four, this quantum group can be interpreted as a deformation of the Lie algebra [x,h]=2h in the context of Drinfeld's quantization program.

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A. A. Vladimirov. 1993-05-11. A Closed Expression for the Universal R-Matrix in a Non-Standard Quantum Double. https://doi.org/10.1142/s0217732393002944

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