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A hopf star-algebra of polynomials on the quantum SL(2, ℝ) for a ‘unitary’ R-matrix

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Abstract

A Hopf *-algebra corresponding to a solution of the classical Yang-Baxter equation is introduced, providing a new quantum deformation of SL (2 ℝ).

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References

  1. Drinfeld, V. G., On constant, quasiclassical solutions of the Yang-Baxter quantum equation, Soviet Math. Dokl 28(3), (1983).

  2. WoronowiczS. L., Twisted SU(2) group. An example of a noncommutative differential calculus, Publ. RIMS, Kyoto University 23, 613–665 (1987).

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Authors and Affiliations

  1. Department of Mathematical Methods in Physics, Faculty of Physics, University of Warsaw, Hoża 74, 00-682, Warsaw, Poland

    S. Zakrzewski

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  1. S. Zakrzewski
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Zakrzewski, S. A hopf star-algebra of polynomials on the quantum SL(2, ℝ) for a ‘unitary’ R-matrix. Lett Math Phys 22, 287–289 (1991). https://doi.org/10.1007/BF00405603

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  • DOI: https://doi.org/10.1007/BF00405603

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