Poisson Structures and Their Normal Forms

Poisson manifolds play a fundamental role in Hamiltonian dynamics, where they serve as phase spaces. They also arise naturally in other mathematical problems, and form a bridge from the "commutative world" to the "noncommutative world". The aim of this book is twofold: On the one...

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Bibliographic Details
Call Number:Libro Electrónico
Main Authors: Dufour, Jean-Paul (Author), Zung, Nguyen Tien (Author)
Corporate Author: SpringerLink (Online service)
Format: Electronic eBook
Language:Inglés
Published: Basel : Birkhäuser Basel : Imprint: Birkhäuser, 2005.
Edition:1st ed. 2005.
Series:Progress in Mathematics, 242
Subjects:
Topological groups.
Lie groups.
Topological Groups and Lie Groups.
Online Access:Texto Completo
Table of Contents:
  • Generalities on Poisson Structures
  • Poisson Cohomology
  • Levi Decomposition
  • Linearization of Poisson Structures
  • Multiplicative and Quadratic Poisson Structures
  • Nambu Structures and Singular Foliations
  • Lie Groupoids
  • Lie Algebroids.

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