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Bibliographic Details
Main Authors:	Laurent-Gengoux, Camille 1976- (Author), Pichereau, Anne 1979- (Author), Vanhaecke, Pol 1963- (Author)
Format:	Electronic eBook
Language:	English
Published:	Berlin [u.a.] Springer 2013
Series:	Grundlehren der mathematischen Wissenschaften 347
Subjects:	Poisson-Klammer Poisson-Algebra Poisson-Mannigfaltigkeit
Links:	https://doi.org/10.1007/978-3-642-31090-4 https://doi.org/10.1007/978-3-642-31090-4 https://doi.org/10.1007/978-3-642-31090-4 https://doi.org/10.1007/978-3-642-31090-4 https://doi.org/10.1007/978-3-642-31090-4 https://doi.org/10.1007/978-3-642-31090-4 https://doi.org/10.1007/978-3-642-31090-4 https://doi.org/10.1007/978-3-642-31090-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025421512&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025421512&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
Physical Description:	1 Online-Ressource (XXIV, 461 S.) graph. Darst.
ISBN:	9783642310898 9783642310904
DOI:	10.1007/978-3-642-31090-4

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Record in the Search Index

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adam_text	POISSON STRUCTURES / LAURENT-GENGOUX, CAMILLE : 2013 TABLE OF CONTENTS / INHALTSVERZEICHNIS PART I THEORETICAL BACKGROUND:1.POISSON STRUCTURES: BASIC DEFINITIONS 2.POISSON STRUCTURES: BASIC CONSTRUCTIONS 3.MULTI-DERIVATIONS AND KAEHLER 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. DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. POISSON STRUCTURES / LAURENT-GENGOUX, CAMILLE : 2013 ABSTRACT / INHALTSTEXT 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 COVERSSOLID 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 WHOARE INTERESTED IN ANINTRODUCTION TO THE MANY FACETS AND APPLICATIONS OF POISSON STRUCTURES DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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series2	Grundlehren der mathematischen Wissenschaften
spellingShingle	Laurent-Gengoux, Camille 1976- Pichereau, Anne 1979- Vanhaecke, Pol 1963- Poisson structures Grundlehren der mathematischen Wissenschaften Poisson-Klammer (DE-588)4332536-1 gnd Poisson-Algebra (DE-588)4309234-2 gnd Poisson-Mannigfaltigkeit (DE-588)4231918-3 gnd
subject_GND	(DE-588)4332536-1 (DE-588)4309234-2 (DE-588)4231918-3
title	Poisson structures
title_auth	Poisson structures
title_exact_search	Poisson structures
title_full	Poisson structures Camille Laurent-Gengoux ; Anne Pichereau ; Pol Vanhaecke
title_fullStr	Poisson structures Camille Laurent-Gengoux ; Anne Pichereau ; Pol Vanhaecke
title_full_unstemmed	Poisson structures Camille Laurent-Gengoux ; Anne Pichereau ; Pol Vanhaecke
title_short	Poisson structures
title_sort	poisson structures
topic	Poisson-Klammer (DE-588)4332536-1 gnd Poisson-Algebra (DE-588)4309234-2 gnd Poisson-Mannigfaltigkeit (DE-588)4231918-3 gnd
topic_facet	Poisson-Klammer Poisson-Algebra Poisson-Mannigfaltigkeit
url	https://doi.org/10.1007/978-3-642-31090-4 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025421512&sequence=000001&line_number=0001&func_code=DB_RECORDS&service_type=MEDIA http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=025421512&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
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work_keys_str_mv	AT laurentgengouxcamille poissonstructures AT pichereauanne poissonstructures AT vanhaeckepol poissonstructures

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