Poisson Structures and Their Normal Forms / by Jean-Paul Dufour, Nguyen Tien Zung ; edited by H. Bass, J. Oesterlé, A. Weinstein
(Progress in Mathematics ; 242)
| データ種別 | 電子ブック |
|---|---|
| 出版情報 | Basel : Birkhäuser Basel , 2005 |
| 本文言語 | 英語 |
| 大きさ | XV, 321 p : online resource |
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| 内容注記 | 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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| 一般注記 | 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 |
| 著者標目 | *Dufour, Jean-Paul author Zung, Nguyen Tien author Bass, H. editor Oesterlé, J. editor Weinstein, A. editor SpringerLink (Online service) |
| 件 名 | LCSH:Mathematics LCSH:Topological groups LCSH:Lie groups FREE:Mathematics FREE:Topological Groups, Lie Groups |
| 分 類 | DC23:512.55 DC23:512.482 |
| 巻冊次 | ISBN:9783764373351 
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| ISBN | 9783764373351 |
| URL | http://dx.doi.org/10.1007/b137493 |
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