Generating functions for the coefficients of the Cremmer-Gervais R-matrices
Quantum Algebra
2007-05-23 v1
Abstract
The coefficients of certain operators on can be constructed using generating functions. Necessary and sufficient conditions are given for some such operators to satisfy the Yang-Baxter equation. As a corollary we obtain a simple, direct proof that the Cremmer-Gervais R-matrices satisfy the Yang-Baxter equation. This approach also clarifies Cremmer and Gervais's original proof via the dynamical Yang-Baxter equation.
Keywords
Cite
@article{arxiv.math/9903113,
title = {Generating functions for the coefficients of the Cremmer-Gervais R-matrices},
author = {Timothy J. Hodges},
journal= {arXiv preprint arXiv:math/9903113},
year = {2007}
}