Quantum-double for a nonstandard deformation of a Borel subalgebra $sl(2,C)$

Physics – High Energy Physics – High Energy Physics - Theory

Scientific paper

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9 pages

Scientific paper

We give a construction of Drienfeld's quantum double for a nonstandard
deformation of Borel subalgebra of $sl(2)$. We construct explicitly some simple
representations of this quantum algebra and from the universal R-matrix we
obtain the explicit solutions of the Yang-Baxter equation in those cases.

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