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Progress in Mathematics

Poisson Structures and Their Normal Forms

Authors: Dufour, Jean-Paul, Zung, Nguyen Tien

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  • ISBN 978-3-7643-7335-1
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Hardcover 114,39 €
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  • ISBN 978-3-7643-7334-4
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About this book

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 hand, it gives a quick, self-contained introduction to Poisson geometry and related subjects, including singular foliations, Lie groupoids and Lie algebroids. On the other hand, it presents a comprehensive treatment of the normal form problem in Poisson geometry. Even when it comes to classical results, the book gives new insights. It contains results obtained over the past 10 years which are not available in other books.

Table of contents (8 chapters)

Table of contents (8 chapters)
  • Generalities on Poisson Structures

    Pages 1-37

  • Poisson Cohomology

    Pages 39-75

  • Levi Decomposition

    Pages 77-104

  • Linearization of Poisson Structures

    Pages 105-128

  • Multiplicative and Quadratic Poisson Structures

    Pages 129-157

Buy this book

eBook 93,08 €
price for Spain (gross)
  • ISBN 978-3-7643-7335-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover 114,39 €
price for Spain (gross)
  • ISBN 978-3-7643-7334-4
  • Free shipping for individuals worldwide
  • Institutional customers should get in touch with their account manager
  • Covid-19 shipping restrictions
  • Usually ready to be dispatched within 3 to 5 business days, if in stock
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Poisson Structures and Their Normal Forms
Authors
Series Title
Progress in Mathematics
Series Volume
242
Copyright
2005
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-7335-1
DOI
10.1007/b137493
Hardcover ISBN
978-3-7643-7334-4
Series ISSN
0743-1643
Edition Number
1
Number of Pages
XV, 321
Topics