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

Lisa Kierans; Bernd Kreussler

doi:10.1088/1742-6596/346/1/012011

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

Lisa Kierans^*, Bernd Kreussler

^*Corresponding author for this work

Mathematics & Computer Studies

Mary Immaculate College

Research output: Contribution to journal › Conference article › peer-review

Abstract

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.

Original language	English
Article number	012011
Journal	Journal of Physics: Conference Series
Volume	346
Issue number	1
DOIs	https://doi.org/10.1088/1742-6596/346/1/012011
Publication status	Published - 2012
Event	6th Baltic-Nordic Workshop Algebra, Geometry, and Mathematical Physics 2010, AGMP-6 - Tjarno, Sweden Duration: 25 Oct 2010 → 31 Oct 2010

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title = "The Belavin-Drinfeld theorem on non-degenerate solutions of the classical Yang-Baxter equation",

abstract = "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.",

author = "Lisa Kierans and Bernd Kreussler",

year = "2012",

doi = "10.1088/1742-6596/346/1/012011",

language = "English",

volume = "346",

journal = "Journal of Physics: Conference Series",

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T1 - The Belavin-Drinfeld theorem on non-degenerate solutions of the classical Yang-Baxter equation

AU - Kierans, Lisa

AU - Kreussler, Bernd

PY - 2012

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N2 - 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.

AB - 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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U2 - 10.1088/1742-6596/346/1/012011

DO - 10.1088/1742-6596/346/1/012011

M3 - Conference article

AN - SCOPUS:84858166100

SN - 1742-6588

VL - 346

JO - Journal of Physics: Conference Series

JF - Journal of Physics: Conference Series

IS - 1

M1 - 012011

T2 - 6th Baltic-Nordic Workshop Algebra, Geometry, and Mathematical Physics 2010, AGMP-6

Y2 - 25 October 2010 through 31 October 2010

ER -

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

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