This book is an introduction to the theory of integrable systems. The six sets of lectures review the foundations of classical finite and infinite-dimensional integrable systems, introduce quantum groups and survey recent developments. They were written by specialists for students and researchers. The volume is dedicated to the memory of Jean-Louis Verdier.
目次
Some Fundamental Techniques in the Theory of Integrable Systems (P Cattier)
Integrable Systems and Torus Actions (H Flaschka)
Field-Theoretical (Multi-Time) Lagrange-Hamiltonian Formalism and Integrable Equations (L A Dickey)
Integrable Foundations of String Theory (P van Moerbeke)
Ten Lectures on Integrable Systems (M A Semenov-Tian-Shansky)