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

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Kreussler, B. (2012) The Belavin-Drinfeld theorem on....pdf (921.75 KB)

Date

2010

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IOP Publishing

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.

Description

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

Keywords

Belavin-Drinfeld theorem, Non-degenerate solutions, Yang-Baxter equation, Physics

Citation

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.

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http://hdl.handle.net/10395/2234

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Mathematics and Computer Studies (Peer-reviewed publications)