Vertex-IRF transformations and quantization of dynamical r-matrices

Details Vertex-IRF transformations and quantization of dynamical r-matrices Vertex-IRF transformations and quantization of dynamical r-matrices

2001-03-13

arxiv.org/abs/math/0103079v1

Math. Res. Letters vol. 8, no. 3, 331-346 (2001)

Mathematics

Quantum Algebra

13 pages, ams-latex

Scientific paper

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.

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