Universal R-matrix and functional relations
Mathematical Physics
2015-04-20 v2 Statistical Mechanics
math.MP
Abstract
We collect and systematize general definitions and facts on the application of quantum groups to the construction of functional relations in the theory of integrable systems. As an example, we reconsider the case of the quantum group related to the six-vertex model. We prove the full set of the functional relations in the form independent of the representation of the quantum group in the quantum space and specialize them to the case of the six-vertex model.
Cite
@article{arxiv.1205.1631,
title = {Universal R-matrix and functional relations},
author = {H. Boos and F. Göhmann and A. Klümper and Kh. S. Nirov and A. V. Razumov},
journal= {arXiv preprint arXiv:1205.1631},
year = {2015}
}
Comments
53 pages, the version submitted to the "Reviews in Mathematical Physics"