Triangle equations and simple Lie algebras

Author(s)

• Belavin, A. A.
• Drinfeld, V. G.

Bibliographic Information

Triangle equations and simple Lie algebras

A.A. Belavin and V.G. Drinfeld

（Classic reviews in mathematics and mathematical physics, v. 1）

Harwood Academic, c1998

Note

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)

by "Nielsen BookData"

Details

• NCID: BA4067830X
• ISBN:
  • 9057022699
• Country Code: ne
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Amsterdam
• Pages/Volumes: vii, 91 p.
• Size: 23 cm
• Classification:
  • DC21 : 512.55
• Subject Headings:
  • LCSH : Lie algebras
• Parent Bibliography ID:
  • BA40678638