Springer Nature is making SARS-CoV-2 and COVID-19 research free. View research | View latest news | Sign up for updates

Jordanian solutions of simplex equations

  • 41 Accesses

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.

This is a preview of subscription content, log in to check access.

References

  1. 1.

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

  2. 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. 3.

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

  4. 4.

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

  5. 5.

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

Download references

Author information

Rights and permissions

Reprints and Permissions

About this article

Cite this article

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

Download citation

Mathematics Subject Classification (1991)

  • 16A24