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Algebraic Integrability, Painlevé Geometry and Lie Algebras /

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This Ergebnisse volume is aimed at a wide readership of mathematicians and physicists, graduate students and professionals. The main thrust of the book is to show how algebraic geometry, Lie theory and Painlevé analysis can be used to explicitly solve integrable differential equations and construct...

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Bibliographic Details
Main Author: Adler, Mark
Corporate Author: SpringerLink (Online service)
Other Authors: Moerbeke, Pierre, Vanhaecke, Pol
Format: eBook
Language:English
Published: Berlin, Heidelberg : Springer Berlin Heidelberg, 2004.
Series:Ergebnisse der Mathematik und ihrer Grenzgebiete, 3. Folge. A Series of Modern Surveys in Mathematics ; 47.
Subjects:
Mathematics.
Geometry, Algebraic.
Topological groups.
Geometry.
Mathematical physics.
Electronic books.
Online Access:Connect to the full text of this electronic book
Table of Contents:
  • Introduction
  • Part I: Liouville Integrable Systems; Lie Algebras; Poisson Manifolds; Integrable Systems on Poisson Manifolds
  • Part II: Algebraic Completely Integrable Systems; The Geometry of Abelian Varieties; A.c.i. Systems; Weight Homogeneous A.c.i. Systems
  • Part III: Examples; Integrable Geodesic Flow on SO(4); Periodic Toda Lattices Associated to Cartan Matrices; Integrable Spinning Tops
  • References
  • Index.