Algebraic Integrability, Painlevรฉ Geometry and Lie Algebras [electronic resource] / by Mark Adler, Pierre van Moerbeke, Pol Vanhaecke

Author	Adler, Mark. author
Title	Algebraic Integrability, Painlevรฉ Geometry and Lie Algebras [electronic resource] / by Mark Adler, Pierre van Moerbeke, Pol Vanhaecke
Imprint	Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2004
Connect to	http://dx.doi.org/10.1007/978-3-662-05650-9
Descript	XII, 484 p. online resource

CONTENT

1 Introduction -- 2 Lie Algebras -- 3 Poisson Manifolds -- 4 Integrable Systems on Poisson Manifolds -- 5 The Geometry of Abelian Varieties -- 6 A.c.i. Systems -- 7 Weight Homogeneous A.c.i. Systems -- 8 Integrable Geodesic Flow on SO(4) -- 9 Periodic Toda Lattices Associated to Cartan Matrices -- 10 Integrable Spinning Tops -- References

Mathematics Algebraic geometry Topological groups Lie groups Geometry Physics Mathematics Geometry Algebraic Geometry Topological Groups Lie Groups Mathematical Methods in Physics