Poisson Structures and Their Normal Forms

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Poisson Structures and Their Normal Forms

Dufour, Jean-Paul. - Nama Orang; Zung, Nguyen Tien. - Nama Orang;

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.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.

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9783764373351

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Judul Seri: -
No. Panggil: -
Penerbit: Basel : Birkhauser., 2005
Deskripsi Fisik: XV, 321 p.online resource.
Bahasa: English
ISBN/ISSN: 9783764373351
Klasifikasi: 512.55
Tipe Isi: -
Tipe Media: -
Tipe Pembawa: -
Edisi: 1st ed. 2005.
Subjek: Topological groups.
Lie groups.
Topological Groups, Lie Groups.
Info Detail Spesifik: -
Pernyataan Tanggungjawab: Jean-Paul Dufour, Nguyen Tien Zung.

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