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 |
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| 041 | 0 | |a eng | |
| 082 | |a 515 | ||
| 084 | |a 17B63. 2010 | ||
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| 100 | 1 | |a Laurent-Gengoux, Camille, |d 1976- | |
| 245 | 1 | 0 | |a Poisson structures |c Camille Laurent-Gengoux, Anne Pichereau, Pol Vanhaecke. |
| 250 | |a 1st ed. 2013. | ||
| 260 | |a Berlin, Heidelberg : |b Springer Berlin Heidelberg. | ||
| 260 | |a Cham : |b Springer Nature, |c [20..]. | ||
| 490 | 0 | |a Grundlehren der mathematischen Wissenschaften, A Series of Comprehensive Studies in Mathematics |v 347 |x 2196-9701 | |
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 500 | |a Archives Springer e-books (Licence nationale) | ||
| 504 | |a Bibliogr. Index | ||
| 505 | |a Contient des exercices | ||
| 505 | 0 | |a 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. | |
| 506 | |a Accès en ligne pour les établissements français bénéficiaires des licences nationales | ||
| 506 | |a Accès soumis à abonnement pour tout autre établissement | ||
| 506 | |a Conditions particulières de réutilisation pour les bénéficiaires des licences nationales. https://www.licencesnationales.fr/springer-nature-ebooks-contrat-licence-ln-2017 | ||
| 520 | |a 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 artifact, but a key element which, unsolicited, comes along with the problem that is investigated, and its delicate properties are decisive for the solution to the problem in nearly all cases. Poisson Structures is the first book that offers a comprehensive introduction to the theory, as well as an overview of the different aspects of Poisson structures. The first part covers solid foundations, the central part consists of a detailed exposition of the different known types of Poisson structures and of the (usually mathematical) contexts in which they appear, and the final part is devoted to the two main applications of Poisson structures (integrable systems and deformation quantization). The clear structure of the book makes it adequate for readers who come across Poisson structures in their research or for graduate students or advanced researchers who are interested in an introduction to the many facets and applications of Poisson structures. | ||
| 650 | |a Variétés de Poisson | ||
| 650 | |a Algèbres de Poisson | ||
| 650 | |a Géométrie différentielle | ||
| 650 | |a Géométrie symplectique | ||
| 650 | |a Théorie ergodique | ||
| 650 | |a Systèmes dynamiques | ||
| 700 | 1 | |a Pichereau, Anne, |d 1979- |4 aut | |
| 700 | 1 | |a Vanhaecke, Pol, |d 1963-...., |c mathématicien. |4 aut | |
| 776 | 0 | |0 16492857X |t Poisson structures |f Camille Laurent-Gengoux, Anne Pichereau, Pol Vanhaecke |d 2013 |c Heidelberg |n Springer |p 1 vol. (XXIV-461 p.) |s Grundlehren der mathematischen Wissenschaften |z 978-3-642-31089-8 | |
| 776 | 0 | |t Poisson Structures |b Texte imprimé |z 9783642310911 | |
| 776 | 0 | |t Poisson Structures |b Texte imprimé |z 9783642432835 | |
| 776 | 0 | |0 16492857X |t Poisson structures |f Camille Laurent-Gengoux, Anne Pichereau, Pol Vanhaecke |d 2013 |c Heidelberg |n Springer |p 1 vol. (XXIV-461 p.) |s Grundlehren der mathematischen Wissenschaften |z 978-3-642-31089-8 | |
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| 997 | |0 950014 |1 Livre numérique |a Ressource numérique |b INSA |b ENSA |c 0/Bibliothèque numérique/ |c 1/Bibliothèque numérique/Autre ressource numérique/ | ||