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Poisson structures / Camille Laurent-Gengoux, Anne Pichereau, Pol Vanhaecke.

By: Laurent-Gengoux, Camille.
Contributor(s): Pichereau, Anne | Vanhaecke, Pol, 1963-.
Material type: TextTextSeries: Grundlehren der mathematischen Wissenschaften: 347.Publisher: Heidelberg ; New York : Springer, c2013Description: xxiv, 461 p., E 62.99 ill. ; 24 cm.ISBN: 9783642310898; 3642310893.Subject(s): Poisson manifolds | Poisson algebrasOnline resources: Table of contents only | Contributor biographical information | Publisher description
Contents:
1. Poisson structures: basic definitions -- 2. Poisson structures: basic constructions -- 3. Multi-derivations and Kahler forms -- 4. Poisson (Co)homology -- 5. Reduction -- 6. Constant Poisson structures, regular and symplectic manifolds -- 7. Linear Poisson structures and lie algebras -- 8. Higher degree Poisson structures -- 9. Higher degree Poisson structures in dimensions two and three -- 10 R-brackets and r-brackets -- 11 Poisson-Lie groups -- 12. Liouville integrable systems -- 13. Deformation quantization -- Appendices.

Includes bibliographical references and index.

1. Poisson structures: basic definitions -- 2. Poisson structures: basic constructions -- 3. Multi-derivations and Kahler forms -- 4. Poisson (Co)homology -- 5. Reduction -- 6. Constant Poisson structures, regular and symplectic manifolds -- 7. Linear Poisson structures and lie algebras -- 8. Higher degree Poisson structures -- 9. Higher degree Poisson structures in dimensions two and three -- 10 R-brackets and r-brackets -- 11 Poisson-Lie groups -- 12. Liouville integrable systems -- 13. Deformation quantization -- Appendices.