Poisson structures
Poisson structures appear in a large variety of contexts, ranging from string theory, classical/quantum mechanics and differential geometry to abstract algebra, algebraic geometry and representation theory. In each one of these contexts, it turns out that the Poisson structure is not a theoretical a...
Shranjeno v:
| Auteurs principaux: | , , |
|---|---|
| Format: | Livre numérique |
| Jezik: | Anglais |
| Izdano: |
Berlin, Heidelberg :
Springer Berlin Heidelberg
[20..].
Cham : Springer Nature |
| Izdaja: | 1st ed. 2013. |
| Serija: | Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics
347 |
| Teme: | |
| Online dostop: | Accès sur la plateforme de l'éditeur Accès sur la plateforme Istex Accès Université d'Orléans Accès INSA CVL |
| Sporočilo: |
Archives Springer e-books (Licence nationale) Archives Springer e-books (Licence nationale) |
| Autres localisations: | Voir dans le Sudoc |
| Edition sous un autre format: | • Poisson structures, Camille Laurent-Gengoux, Anne Pichereau, Pol Vanhaecke, 2013, Heidelberg, Springer, 1 vol. (XXIV-461 p.), Grundlehren der mathematischen Wissenschaften, 978-3-642-31089-8 • Poisson Structures, Texte imprimé, 9783642310911 • Poisson Structures, Texte imprimé, 9783642432835 • Poisson structures, Camille Laurent-Gengoux, Anne Pichereau, Pol Vanhaecke, 2013, Heidelberg, Springer, 1 vol. (XXIV-461 p.), Grundlehren der mathematischen Wissenschaften, 978-3-642-31089-8 |
Kazalo:
- Contient des exercices
- 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.