Triangle equations and simple Lie algebras

著者

• Belavin, A. A.
• Drinfeld, V. G.

書誌事項

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

注記

Includes bibliographical references and index

内容説明・目次

内容説明

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.

目次

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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詳細情報

• NII書誌ID(NCID): BA4067830X
• ISBN:
  • 9057022699
• 出版国コード: ne
• タイトル言語コード: eng
• 本文言語コード: eng
• 出版地: Amsterdam
• ページ数/冊数: vii, 91 p.
• 大きさ: 23 cm
• 分類:
  • DC21 : 512.55
• 件名:
  • LCSH : Lie algebras
• 親書誌ID:
  • BA40678638