The 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 classification 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.

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Bibliographic Details
Published in:Journal of physics. Conference series 2012-01, Vol.346 (1), p.12011-16
Main Authors: Kierans, Lisa, Kreussler, Bernd
Format: Article
Language:English
Subjects:
Classification
Equivalence
Mathematical analysis
Physics
Proving
Theorems
Citations: Items that this one cites
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Description
Summary:We give a coordinate free proof of Belavin and Drinfeld's Theorem about the classification 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.
ISSN:1742-6596
1742-6588
1742-6596
DOI:10.1088/1742-6596/346/1/012011