TY - BOOK ID - 209496 TI - Poisson structures and their normal forms AU - Dufour, Jean-Paul. AU - Zung, Nguyen Tien PY - 2005 SN - 1280413182 9786610413188 3764373350 3764373342 PB - Basel ; Boston : Birkhauser Verlag, DB - UniCat KW - Poisson manifolds. KW - Lie algebras. KW - Geometry, Differential. KW - Symplectic geometry. KW - Hamiltonian systems. KW - Lagrange spaces. KW - Spaces, Lagrange KW - Geometry, Differential KW - Hamiltonian dynamical systems KW - Systems, Hamiltonian KW - Differentiable dynamical systems KW - Differential geometry KW - Algebras, Lie KW - Algebra, Abstract KW - Algebras, Linear KW - Lie groups KW - Differentiable manifolds KW - Topological Groups. KW - Topological Groups, Lie Groups. KW - Groups, Topological KW - Continuous groups KW - Topological groups. KW - Lie groups. KW - Groups, Lie KW - Lie algebras KW - Symmetric spaces KW - Topological groups UR - https://www.unicat.be/uniCat?func=search&query=sysid:209496 AB - 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. ER -