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Loop groups, discrete versions of some classical integrable systems, and rank 2 extensions

About this Title

Percy Deift, Luen Chau Li and Carlos Tomei

Publication: Memoirs of the American Mathematical Society
Publication Year 1992: Volume 100, Number 479
ISBNs: 978-0-8218-2540-2 (print); 978-1-4704-0056-9 (online)
MathSciNet review: 1124113
MSC: Primary 58F07; Secondary 22E67

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Table of Contents


  • 1. Introduction
  • 2. The discrete Euler-Arnold equation (I)
  • 3. The discrete Euler-Arnold equation (II)
  • 4. Billiards in an elliptical region
  • 5. Loop groups and rank 2 extensions
  • Appendix. Classical $R$-matrix theory