Vertex-IRF transformations and quantization of dynamical r-matrices

2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/61082Motivated 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-latexQuantum AlgebraVertex-IRF transformations and quantization of dynamical r-matricestext