Parametrization of semi-dynamical quantum reflection algebra
Quantum Algebra
2015-06-26 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Exactly Solvable and Integrable Systems
Abstract
We construct sets of structure matrices for the semi-dynamical reflection algebra, solving the Yang-Baxter type consistency equations extended by the action of an automorphism of the auxiliary space. These solutions are parametrized by dynamical conjugation matrices, Drinfel'd twist representations and quantum non-dynamical -matrices. They yield factorized forms for the monodromy matrices.
Cite
@article{arxiv.math/0611184,
title = {Parametrization of semi-dynamical quantum reflection algebra},
author = {Jean Avan and Geneviève Rollet},
journal= {arXiv preprint arXiv:math/0611184},
year = {2015}
}
Comments
LaTeX, 24 pages. Misprints corrected, comments added in Conclusion on construction of Hamiltonians