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Jordanian solutions of simplex equations

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Abstract

We construct for all N a solution of the Frenkel-Moore N-simplex equation which generalizes the R-matrix for the Jordanian quantum group.

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References

  1. Frenkel, I. and Moore, G., Simplex equations and their solutions, Comm. Math. Phys. 138, 259 (1991).

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  2. Demidov, E. E., Manin, Yu. I., Mukhin, E. E., and Zhdanovich, D. V., Non-standard quantum deformations of GL(n) and constant solutions of the Yang-Baxter equation, Preprint RIMS-701 (1990).

  3. Ewen, H., Ogievetsky, O., and Wess, J., Quantum matrices in two dimensions, Lett. Math. Phys. 22, 297 (1991).

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  4. Ogievetsky, O., Self-dual Hopf algebra with two generators, preprint MPI-Ph/92-98.

  5. Drinfeld, V., On some unsolved problems in quantum group theory, preprint Kharkov, 1991.

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Author notes

  1. O. Ogievetsky

    Present address: Theoretical Department, P. N. Lebedev Physical Institute, Leninsky prospect 53, 117924, Moscow, Russia

Authors and Affiliations

  1. Max-Planck-Institut für Physik, Werner-Heisenberg-Institut, Föhringer Ring 6, W-8000, Munich 40, Germany

    H. Ewen & O. Ogievetsky

Authors
  1. H. Ewen
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  2. O. Ogievetsky
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Ewen, H., Ogievetsky, O. Jordanian solutions of simplex equations. Lett Math Phys 26, 307–313 (1992). https://doi.org/10.1007/BF00420240

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  • DOI: https://doi.org/10.1007/BF00420240

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