Poisson structures:
Gespeichert in:
Hauptverfasser: | , , |
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Format: | Elektronisch E-Book |
Sprache: | English |
Veröffentlicht: |
Berlin [u.a.]
Springer
2013
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Schriftenreihe: | Grundlehren der mathematischen Wissenschaften
347 |
Schlagworte: | |
Online-Zugang: | DE-634 DE-91 DE-384 DE-19 DE-703 DE-20 DE-739 Volltext Inhaltsverzeichnis Abstract |
Beschreibung: | 1 Online-Ressource (XXIV, 461 S.) graph. Darst. |
ISBN: | 9783642310898 9783642310904 |
DOI: | 10.1007/978-3-642-31090-4 |
Internformat
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Datensatz im Suchindex
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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. |
any_adam_object | 1 |
author | Laurent-Gengoux, Camille 1976- Pichereau, Anne 1979- Vanhaecke, Pol 1963- |
author_GND | (DE-588)1028283644 (DE-588)1028284632 (DE-588)1028305303 |
author_facet | Laurent-Gengoux, Camille 1976- Pichereau, Anne 1979- Vanhaecke, Pol 1963- |
author_role | aut aut aut |
author_sort | Laurent-Gengoux, Camille 1976- |
author_variant | c l g clg a p ap p v pv |
building | Verbundindex |
bvnumber | BV040593629 |
classification_rvk | SK 340 SK 370 |
classification_tum | MAT 000 |
collection | ZDB-2-SMA |
ctrlnum | (OCoLC)812384880 (DE-599)BVBBV040593629 |
dewey-full | 512.48 |
dewey-hundreds | 500 - Natural sciences and mathematics |
dewey-ones | 512 - Algebra |
dewey-raw | 512.48 |
dewey-search | 512.48 |
dewey-sort | 3512.48 |
dewey-tens | 510 - Mathematics |
discipline | Mathematik |
doi_str_mv | 10.1007/978-3-642-31090-4 |
format | Electronic eBook |
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isbn | 9783642310898 9783642310904 |
language | English |
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physical | 1 Online-Ressource (XXIV, 461 S.) graph. Darst. |
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spelling | Laurent-Gengoux, Camille 1976- Verfasser (DE-588)1028283644 aut Poisson structures Camille Laurent-Gengoux ; Anne Pichereau ; Pol Vanhaecke Berlin [u.a.] Springer 2013 1 Online-Ressource (XXIV, 461 S.) graph. Darst. txt rdacontent c rdamedia cr rdacarrier Grundlehren der mathematischen Wissenschaften 347 Poisson-Algebra (DE-588)4309234-2 gnd rswk-swf Poisson-Klammer (DE-588)4332536-1 gnd rswk-swf Poisson-Mannigfaltigkeit (DE-588)4231918-3 gnd rswk-swf Poisson-Algebra (DE-588)4309234-2 s Poisson-Mannigfaltigkeit (DE-588)4231918-3 s Poisson-Klammer (DE-588)4332536-1 s DE-604 Pichereau, Anne 1979- Verfasser (DE-588)1028284632 aut Vanhaecke, Pol 1963- Verfasser (DE-588)1028305303 aut Grundlehren der mathematischen Wissenschaften 347 (DE-604)BV049758308 347 https://doi.org/10.1007/978-3-642-31090-4 Verlag Volltext Springer Fremddatenuebernahme application/pdf 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 Inhaltsverzeichnis Springer Fremddatenuebernahme application/pdf 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 Abstract |
spellingShingle | Laurent-Gengoux, Camille 1976- Pichereau, Anne 1979- Vanhaecke, Pol 1963- Poisson structures Grundlehren der mathematischen Wissenschaften Poisson-Algebra (DE-588)4309234-2 gnd Poisson-Klammer (DE-588)4332536-1 gnd Poisson-Mannigfaltigkeit (DE-588)4231918-3 gnd |
subject_GND | (DE-588)4309234-2 (DE-588)4332536-1 (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-Algebra (DE-588)4309234-2 gnd Poisson-Klammer (DE-588)4332536-1 gnd Poisson-Mannigfaltigkeit (DE-588)4231918-3 gnd |
topic_facet | Poisson-Algebra Poisson-Klammer 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 |
volume_link | (DE-604)BV049758308 |
work_keys_str_mv | AT laurentgengouxcamille poissonstructures AT pichereauanne poissonstructures AT vanhaeckepol poissonstructures |