Solutions of the Quantum-Yang-Baxter-Equation from Symmetric Spaces
Quantum Algebra
2007-05-23 v1
Abstract
We show that for each semi-Riemannian locally symmetric space the curvature tensor gives rise to a rational solution of the classical Yang-Baxter equation with spectral parameter. For several Riemannian globally symmetric spaces such as real, complex and quaternionic Grassmann manifolds we explicitly compute solutions of the quantum Yang Baxter equations (represented in the tangent spaces of ) which generalize the quantum -matrix found by Zamolodchikov and Zamolodchikov in 1979.
Keywords
Cite
@article{arxiv.math/0107018,
title = {Solutions of the Quantum-Yang-Baxter-Equation from Symmetric Spaces},
author = {M. Bordemann and M. Walter},
journal= {arXiv preprint arXiv:math/0107018},
year = {2007}
}
Comments
10 pages, amsfonts,amssymb,amsmath,latexsym