Vertex-IRF transformations and quantization of dynamical r-matrices

Authors
Etingof, P Nikshych, D
Citation
P. Etingof et D. Nikshych, Vertex-IRF transformations and quantization of dynamical r-matrices, MATH RES LE, 8(3), 2001, pp. 331-345
Citations number
17
Categorie Soggetti
Mathematics
Journal title
MATHEMATICAL RESEARCH LETTERS
ISSN journal
10732780 → ACNP
Volume
8
Issue
3
Year of publication
2001
Pages
331 - 345
Database
ISI
SICI code
1073-2780(200105)8:3<331:VTAQOD>2.0.ZU;2-0
Abstract
Motivated by the correspondence between the vertex and IRF models in statis tical 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.