Poisson structures /
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Main Authors: | |
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Corporate Authors: | |
Group Author: | ; |
Published: |
Springer,
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Publisher Address: | Berlin ; New York : |
Publication Dates: | 2013. |
Literature type: | eBook |
Language: | English |
Series: |
Grundlehren der mathematischen Wissenschaften,
347 |
Subjects: | |
Online Access: |
http://dx.doi.org/10.1007/978-3-642-31090-4 |
Carrier Form: | 1 online resource. |
Bibliography: | Includes bibliographical references and index. |
ISBN: |
9783642310904 (electronic bk.) 3642310907 (electronic bk.) |
Index Number: | QA614 |
CLC: | O172.2 |
Contents: |
Theoretical Background -- Poisson Structures: Basic Definitions -- Poisson Structures: Basic Constructions -- Multi-Derivations and Ka hler Forms -- Poisson (Co)Homology -- Reduction -- Examples -- Constant Poisson Structures, Regular and Symplectic Manifolds -- Linear Poisson Structures and Lie Algebras -- Higher Degree Poisson Structures -- Poisson Structures in Dimensions Two and Three -- R-Brackets and r-Brackets -- Poisson-Lie Groups -- Applications -- Liouville Integrable Systems -- Deformation Quantization. |