Poisson Structures

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Poisson Structures

種類:

電子ブック

責任表示:

by Camille Laurent-Gengoux, Anne Pichereau, Pol Vanhaecke

出版情報:

Berlin, Heidelberg : Springer Berlin Heidelberg : Imprint: Springer, 2013

著者名:

シリーズ名:

Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics ; 347

ISBN:

9783642310904 [3642310907]

ローカル注記:

学内専用E-BOOKS (local access only)

オンライン

http://dx.doi.org/10.1007/978-3-642-31090-4

所蔵情報

子書誌情報

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詳細

主題:

Analysis; Differential Geometry; Mathematics; Non-associative Rings and Algebras; Topological Groups, Lie Groups

分類・件名:

DC23 : 515
LCSH : Mathematics
LCSH : Algebra
LCSH : Topological Groups
LCSH : Global analysis (Mathematics)
LCSH : Global differential geometry
FREE : Mathematics
FREE : Analysis
FREE : Differential Geometry
FREE : Topological Groups, Lie Groups
FREE : Non-associative Rings and Algebras

形態:

XXIV, 461 p. 16 illus : digital

目次情報:

Part I Theoretical Background:1.Poisson Structures: Basic Definitions
2.Poisson Structures: Basic Constructions
3.Multi-Derivations and Kähler Forms
4.Poisson (Co)Homology
5.Reduction
Part II Examples:6.Constant Poisson Structures, Regular and Symplectic Manifolds
7.Linear Poisson Structures and Lie Algebras
8.Higher Degree Poisson Structures
9.Poisson Structures in Dimensions Two and Three
10.R-Brackets and r-Brackets
11.Poisson–Lie Groups
Part III Applications:12.Liouville Integrable Systems
13.Deformation Quantization
A Multilinear Algebra
B Real and Complex Differential Geometry
References
Index
List of Notations.

Part I Theoretical Background:1.Poisson Structures: Basic Definitions
2.Poisson Structures: Basic Constructions
3.Multi-Derivations and Kähler Forms
4.Poisson (Co)Homology
5.Reduction
Part II Examples:6.Constant Poisson Structures, Regular and Symplectic Manifolds

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書誌ID:

KB00010209

内容紹介

目次情報

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