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...

Πλήρης περιγραφή

Λεπτομέρειες βιβλιογραφικής εγγραφής
Κύριοι συγγραφείς: Dufour, Jean-Paul (Συγγραφέας), Zung, Nguyen Tien (Συγγραφέας)
Συγγραφή απο Οργανισμό/Αρχή: SpringerLink (Online service)
Άλλοι συγγραφείς: Bass, H. (Επιμελητής έκδοσης), Oesterlé, J. (Επιμελητής έκδοσης), Weinstein, A. (Επιμελητής έκδοσης)
Μορφή: Ηλεκτρονική πηγή Ηλ. βιβλίο
Γλώσσα:English
Έκδοση: Basel : Birkhäuser Basel, 2005.
Σειρά:Progress in Mathematics ; 242
Θέματα:
Διαθέσιμο Online:Full Text via HEAL-Link
LEADER 02660nam a22005295i 4500
001 978-3-7643-7335-1
003 DE-He213
005 20151204154615.0
007 cr nn 008mamaa
008 100301s2005 sz | s |||| 0|eng d
020 |a 9783764373351  |9 978-3-7643-7335-1 
024 7 |a 10.1007/b137493  |2 doi 
040 |d GrThAP 
050 4 |a QA252.3 
050 4 |a QA387 
072 7 |a PBG  |2 bicssc 
072 7 |a MAT014000  |2 bisacsh 
072 7 |a MAT038000  |2 bisacsh 
082 0 4 |a 512.55  |2 23 
082 0 4 |a 512.482  |2 23 
100 1 |a Dufour, Jean-Paul.  |e author. 
245 1 0 |a Poisson Structures and Their Normal Forms  |h [electronic resource] /  |c by Jean-Paul Dufour, Nguyen Tien Zung ; edited by H. Bass, J. Oesterlé, A. Weinstein. 
264 1 |a Basel :  |b Birkhäuser Basel,  |c 2005. 
300 |a XV, 321 p.  |b online resource. 
336 |a text  |b txt  |2 rdacontent 
337 |a computer  |b c  |2 rdamedia 
338 |a online resource  |b cr  |2 rdacarrier 
347 |a text file  |b PDF  |2 rda 
490 1 |a Progress in Mathematics ;  |v 242 
505 0 |a 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. 
520 |a 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. 
650 0 |a Mathematics. 
650 0 |a Topological groups. 
650 0 |a Lie groups. 
650 1 4 |a Mathematics. 
650 2 4 |a Topological Groups, Lie Groups. 
700 1 |a Zung, Nguyen Tien.  |e author. 
700 1 |a Bass, H.  |e editor. 
700 1 |a Oesterlé, J.  |e editor. 
700 1 |a Weinstein, A.  |e editor. 
710 2 |a SpringerLink (Online service) 
773 0 |t Springer eBooks 
776 0 8 |i Printed edition:  |z 9783764373344 
830 0 |a Progress in Mathematics ;  |v 242 
856 4 0 |u http://dx.doi.org/10.1007/b137493  |z Full Text via HEAL-Link 
912 |a ZDB-2-SMA 
950 |a Mathematics and Statistics (Springer-11649)