On rime Ansatz
Quantum Algebra
2007-12-27 v1
Abstract
The ice Ansatz on matrix solutions of the Yang-Baxter equation is weakened to a condition which we call rime. Generic rime solutions of the Yang-Baxter equation are described. We prove that the rime non-unitary (respectively, unitary) R-matrix is equivalent to the Cremmer-Gervais (respectively, boundary Cremmer-Gervais) solution. Generic rime classical r-matices satisfy the (non-)homogeneous associative classical Yang-Baxter equation.
Keywords
Cite
@article{arxiv.0712.3953,
title = {On rime Ansatz},
author = {Oleg Ogievetsky and Todor Popov},
journal= {arXiv preprint arXiv:0712.3953},
year = {2007}
}
Comments
4 pages, talk given at the VII International Workshop "Supersymmetries and Quantum Symmetries", Dubna 2007