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paper

Vertex-IRF transformations and quantization of dynamical r-matrices

arXiv:math/0103079

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.

13 pages, ams-latex