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

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Date
2010
Author
Kreussler, Bernd
Kierans, Lisa
Peer Reviewed
Yes
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Kierans, 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.
Abstract
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.
Keywords
Belavin-Drinfeld theorem
Non-degenerate solutions
Yang-Baxter equation
Physics
Language (ISO 639-3)
eng
Publisher
IOP Publishing
License URI
http://iopscience.iop.org/article/10.1088/1742-6596/346/1/012011/pdf
DOI
10.1088/1742-6596/346/1/012011
URI
http://hdl.handle.net/10395/2234
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