On some unsolved problems in quantum group theory

I. Quantum Groups, Deformation Theory And Representation Theory
Part of the Lecture Notes in Mathematics book series (LNM, volume 1510)


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  1. [1]
    Drinfeld V.G., Quantum groups, Proc. ICM-86 (Berkeley) 1 (1987), 798–820.MathSciNetGoogle Scholar
  2. [2]
    Deligne P. and Milne J., Tannakian categories, Lect. Notes Math. 900 (1982), 101–228.MathSciNetCrossRefzbMATHGoogle Scholar
  3. [3]
    Drinfeld V.G., On constant, quasiclassical solutions of the quantum Yang-Baxter equation, Sov. Math. Dokl. 28 (1983), 667–671.zbMATHGoogle Scholar
  4. [4]
    Moreno C. et Valero L., Produits star invariants et équation de Yang-Baxter quantique constante, Dans les Actes des Journées Relativistes (24–29 avril 1990, Aussois, France).Google Scholar
  5. [5]
    Drinfeld V.G., Quasi-Hopf algebras, Algebra Anal. 1 no. 6 (1989), 114–148. (in Russian)MathSciNetGoogle Scholar
  6. [6]
    Drinfeld V.G., On quasitriangular quasi-Hopf algebras and a group closely connected with(ℚ/ℚ, Algebra Anal. 2 no. 4 (1990), 149–181. (in Russian)MathSciNetGoogle Scholar
  7. [7]
    Jimbo M., A q-difference analogue of U(g) and the Yang-Baxter equation, Lett.Math.Phys. 10 (1985), 63–69.MathSciNetCrossRefzbMATHGoogle Scholar
  8. [8]
    Lusztig G., Quantum deformations of certain simple modules over enveloping algebras, Adv. Math. 70 (1988), 237–249.MathSciNetCrossRefzbMATHGoogle Scholar
  9. [9]
    Drinfeld V.G., On almost cocommutative Hopf algebras, Leningrad Math. J. 1 no. 2 (1990), 321–342.MathSciNetzbMATHGoogle Scholar
  10. [10]
    Kac V.G., Infinite dimensional Lie algebras, Birkhäuser, Boston a.o., 1983.Google Scholar

Copyright information

© Springer-Verlag 1992

Authors and Affiliations

  1. 1.Physical & Technical Institute of Low TemperaturesKharkovUSSR

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