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References

  1. N. Andruskiewitsch, F. Levstein and A. Tiraboschi, Lie Bialgebras with Triangular Decomposition. Preprint ICTP IC/92/117.

  2. V.G. Drinfeld, Hamiltonian Structures on Lie Groups, Lie Bialgebras and the Geometric Meaning of the Classical Yang-Baxter Equations. Soviet Math. Dokl.27 (1983), 68–71.

    MathSciNet  Google Scholar 

  3. V.G. Drinfeld, On Constant, Quasi-classical Solutions of the Quantum Yang-Baxter Equation. Soviet Math. Dokl.28 (1983), 667–671.

    Google Scholar 

  4. V.G. Drinfeld, Quantum Groups. Proc. of the ICM, Berkeley 1986, 798–820.

    Google Scholar 

  5. V.G. Drinfeld, Quasi-Hopf Algebras. Leningrad Math. J.1 no.6 (1990), 1419–1457.

    MathSciNet  Google Scholar 

  6. R. Floreanini, D. Leites andM. Vinet, On the Defining Relations of Quantum Superalgebras. Lett. Math. Phys.23 (1991), 127–131.

    Article  MATH  MathSciNet  Google Scholar 

  7. S. Gutt, An Explicit *-product on the Cotagent Bundle of a Lie Group. Lett. Math. Phys.7 no.4 (1983), 249–258.

    Article  MATH  MathSciNet  Google Scholar 

  8. D.I. Gurevich, Algebraic Aspects of the Quantum Yang-Baxter Equation. Alge- bra Anal.2 no.4 (1990), 119–148. (In russian)

    MATH  MathSciNet  Google Scholar 

  9. B. Kostant, Graded Manifolds, Graded Lie Theory, and Prequantization. Lect. Notes Math.570 (1975), 177–306.

    Article  MathSciNet  Google Scholar 

  10. S.M. Khoroshkin and V.N. Tolstoy, The Cartan-Weyl Basis and the Universal R-matrix for Quantum Kac-Moody Algebras and Superalgebras. (Preprint)

  11. D. Leites, Introduction to the Theory of Supermanifolds. Uspekhi Mat. Nauk35 (1980), 3–57.

    MATH  MathSciNet  Google Scholar 

  12. D. Leites, Cohomologies of Lie Superalgebras. Funct. An. Appl.9 (1975), 340–341.

    Article  MATH  MathSciNet  Google Scholar 

  13. Y.I. Manin, Quantum Groups and Non-commutative Geometry. Preprint Mon- treal University CRM-1561.

  14. G.I. Olshanski, Quantized Universal Enveloping Algebra of Type Q and a Super-Extension of the Hecke Algebra. Lett. Math. Phys.24 (1992), 93–102.

    Article  MATH  MathSciNet  Google Scholar 

  15. E. Sklyanin, L.A. Takhtajan andL. Fadeev, Teor. Matern. Fyz.40 (1979), 194–220.

    Google Scholar 

  16. L.A. Takhtajan, Introduction to Quantum Groups. In: Lect. Notes in Phys.370, Springer-Verlag 1990, 3–28.

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Andruskiewitsch, N. Lie superbialgebras and poisson-lie supergroups. Abh.Math.Semin.Univ.Hambg. 63, 147–163 (1993). https://doi.org/10.1007/BF02941339

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