The Belavin-Drinfeld theorem on non-degenerate solutions of the classical Yang-Baxter equation

2018-10-092018-10-092010Kierans, L.; Kreussler, B. (2012) 'The Belavin-Drinfeld theorem on non-degenerate solutions of the classical Yang-Baxter equation'. Journal of Physics: Conference Series 346(012011), pp. 1-16. DOI: 10.1088/1742-6596/346/1/012011.http://hdl.handle.net/10395/2234The Belavin-Drinfeld theorem on non-degenerate solutions of the classical Yang-Baxter equation.We give a coordinate free proof of Belavin and Drinfeld's Theorem about the classi cation of non-degenerate solutions of the classical Yang-Baxter equation. The equivalence of different characterisations of non-degeneracy is also shown in such a way.enghttp://iopscience.iop.org/article/10.1088/1742-6596/346/1/012011/pdfBelavin-Drinfeld theoremNon-degenerate solutionsYang-Baxter equationPhysicsThe Belavin-Drinfeld theorem on non-degenerate solutions of the classical Yang-Baxter equationArticle10.1088/1742-6596/346/1/012011