This volume examines the basic techniques of using Lie algebraic concepts to explore the domain of nonlinear integrable systems. It provides a comprehensive treatment of Lie methods and summarizes their use in various fields of theoretical research.
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"Lie theory and algebraic geometry have played a unifying role in integrable theory since its early rebirth some 30 years ago. They have transformed a mosaic of old examples, due to the masters like Hamilton, Jacobi and Kowalewski, and new examples into general methods and statements. The book under review addresses a number of these topics contains a variety of interesting topics: some are expained in a user-friendly and elementary way, and others are taken directly from research papers." -Pierre Van Moerbeke, in The London Mathematical Society
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