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Universal R-matrix of the quantum superalgebra osp(2 | 1)

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Abstract

A quantum analogue of the simplest superalgebra osp(2 | 1) and its finite-dimensional, irreducible representations are found. The corresponding constant solution to the Yang-Baxter equation is constructed and is used to formulate the Hopf superalgebra of functions on the quantum supergroup OSp(2 | 1).

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References

  1. FaddeevL. D., Integrable models in 1+1 dimensional quantum field theory, in Les Houches Lectures 1982, Elsevier, Amsterdam, 1984.

    Google Scholar 

  2. Drinfield, V. G., Proc. ICM-86, Berkeley, 1987, pp. 798–820.

  3. JimboM., Lett. Math. Phys. 10, 63 (1985); 11, 247 (1986); Commun. Math. Phys. 102, 537 (1986).

    Google Scholar 

  4. Faddeev, L. D., Reshetikhin, N. Yu., and Takhtajan, L. A., Quantization of Lie groups and Lie algebras, Preprint LOMI, E-14-87 (1987).

  5. FaddeevL. D., ReshetikhinN. Yu., and TakhtajanL. A., Algebra and Analis 1, 1 (1989) (in Russian).

    Google Scholar 

  6. WoronowiczS. L., Commun. Math. Phys. 111, 613 (1987).

    Google Scholar 

  7. ManinYu, I., Ann. Inst. Fourier 37, 191 (1987).

    Google Scholar 

  8. PodlesP., Lett. Math. Phys. 14, 193 (1987).

    Google Scholar 

  9. Reshetikhin, N. Yu., Preprint LOMI, E-4-87 (1988).

  10. Reshetikhin, N. Yu and Kirillov, A. N., Preprint LOMI, E-9-88 (1988).

  11. KacV. G., Adv. in Math. 26, 8 (1977).

    Google Scholar 

  12. Kulish, P. P., Preprint RIMS-615 (1988).

  13. ScheunertM., NahmW., and RittenbergV., J. Math. Phys. 18, 146 (1977).

    Google Scholar 

  14. BerezinF. A. and TolstoyV. N., Commun. Math. Phys. 78, 409 (1981).

    Google Scholar 

  15. KulishP. P. and ReshetikhinN. Yu., J. Soviet Math. 23, 2435 (1983).

    Google Scholar 

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Authors and Affiliations

  1. Leningrad Branch of Steklov Mathematical Institute, Fontanka 27, 191011, Leningrad, U.S.S.R.

    P. P. Kulish & N. Yu. Reshetikhin

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  1. P. P. Kulish
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  2. N. Yu. Reshetikhin
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Kulish, P.P., Reshetikhin, N.Y. Universal R-matrix of the quantum superalgebra osp(2 | 1). Lett Math Phys 18, 143–149 (1989). https://doi.org/10.1007/BF00401868

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  • DOI: https://doi.org/10.1007/BF00401868

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