Quantization of Lie Bialgebras and Shuffle Algebras of Lie Algebras

  • Let, be a Kac-Moody Lie
  • Published 2008


We present a quantization of Lie bialgebras over an arbitrary field of characteristic 0. Unlike the construction of Etingof and Kazhdan, this quantization does not rely on the choice of an associator. The construction involves the following steps. 1) To each Lie algebra a, we associate its shuffle algebra Sh(a); Sh(a) is a Hopf algebra containing Ua. It is… (More)


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