Triangle equations and simple Lie algebras
Author(s)
Bibliographic Information
Triangle equations and simple Lie algebras
(Classic reviews in mathematics and mathematical physics, v. 1)
Harwood Academic, c1998
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Includes bibliographical references and index
Description and Table of Contents
Description
This classic paper pertaining to the theory of the Yang-Baxter equations presents results on the applications of methods of the theory of Lie algebras to the classification of solutions of the Yang-Baxter equations.
Table of Contents
PART I: Properties of Nondegenerate Solutions
1. Elliptic Solutions 2. Brief Survey of Semisimple Lie Algebras 3. The Simplest Trigonometric Solutions 4.
Modified Triangle Equation for Constants 5. Trigonometric Solutions (General Case) 6. Rational Solutions Having No Poles at Infinity
PART II: Automorphisms of Simple Lie Algebras
1. Equivalence of the Three Definitions of Nondegeneracy 2. Myrberg's Theorem and the General Classification of Solutions 3. Modified Triangle Equation for Constants (Conclusion) 4. Trigonometric Solutions (Conclusion)
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