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

High Energy Physics - Theory 2008-02-03 v1 Quantum Algebra

Abstract

We give a construction of Drienfeld's quantum double for a nonstandard deformation of Borel subalgebra of sl(2)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.

Keywords

Cite

@article{arxiv.hep-th/9303035,
  title  = {Quantum-double for a nonstandard deformation of a Borel subalgebra $sl(2,C)$},
  author = {C. Burdik and P. Hellinger},
  journal= {arXiv preprint arXiv:hep-th/9303035},
  year   = {2008}
}

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9 pages