Vertex-IRF transformations and quantization of dynamical r-matrices

Academic Article

Abstract

  • Motivated by the correspondence between the vertex and IRF models in statistical mechanics, we define and study a notion of vertex-IRF transformation for dynamical twists that generalizes a usual gauge transformation. We use vertex-IRF transformations to quantize all completely degenerate dynamical r-matrices on finite-dimensional Lie algebras.

    • Authors

  • Etingof, Pavel
  • Nikshych, Dmitri

    • Publication Date

  • March 13, 2001

    • Published In

  • Math. Res. Letters  Journal

    • Keywords

  • math.QA

    • Start Page

  • 3

    • Volume

  • 8