Quantization of Lie bialgebras, II

• P. Etingof ^[1] ; D. Kazhdan ^[1]
  1. [1] Harvard University

     Harvard University

     City of Cambridge, Estados Unidos

     
• Localización: Selecta Mathematica, New Series, ISSN 1022-1824, Vol. 4, Nº. 2, 1998, págs. 213-231
• Idioma: inglés
• DOI: 10.1007/s000290050030
• Enlaces
  • Texto completo (pdf)
• Resumen

  • This paper is a continuation of [EK]. We show that the quantization procedure of [EK] is given by universal acyclic formulas and defines a functor from the category of Lie bialgebras to the category of quantized universal enveloping algebras. We also show that this functor defines an equivalence between the category of Lie bialgebras over k [[h]] and the category of quantized universal enveloping (QUE) algebras.