Holdings: Symmetric spaces and the Kashiwara-Vergne method

Symmetric spaces and the Kashiwara-Vergne method:

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Bibliographic Details
Main Author:	Rouvière, François (Author)
Format:	Electronic eBook
Language:	English
Published:	Cham [u.a.] Springer 2014
Series:	Lecture notes in mathematics 2115
Subjects:	Lie-Theorie Symmetrischer Raum Lie-Gruppe
Online Access:	Volltext Inhaltsverzeichnis Abstract
Physical Description:	1 Online-Ressource (XXI, 196 S.)
ISBN:	9783319097732
DOI:	10.1007/978-3-319-09773-2

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MARC


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adam_text	SYMMETRIC SPACES AND THE KASHIWARA-VERGNE METHOD / ROUVIERE, FRANCOIS : 2014 TABLE OF CONTENTS / INHALTSVERZEICHNIS INTRODUCTION NOTATION THE KASHIWARA-VERGNE METHOD FOR LIE GROUPS CONVOLUTION ON HOMOGENEOUS SPACES THE ROLE OF E-FUNCTIONS E-FUNCTIONS AND THE CAMPBELL HAUSDORFF FORMULA BIBLIOGRAPHY DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT. SYMMETRIC SPACES AND THE KASHIWARA-VERGNE METHOD / ROUVIERE, FRANCOIS : 2014 ABSTRACT / INHALTSTEXT GATHERING AND UPDATING RESULTS SCATTERED IN JOURNAL ARTICLES OVER THIRTY YEARS, THIS SELF-CONTAINED MONOGRAPH GIVES A COMPREHENSIVE INTRODUCTION TO THE SUBJECT. ITS GOAL IS TO: - MOTIVATE AND EXPLAIN THE METHOD FOR GENERAL LIE GROUPS, REDUCING THE PROOF OF DEEP RESULTS IN INVARIANT ANALYSIS TO THE VERIFICATION OF TWO FORMAL LIE BRACKET IDENTITIES RELATED TO THE CAMPBELL-HAUSDORFF FORMULA (THE KASHIWARA-VERGNE CONJECTURE ); - GIVE A DETAILED PROOF OF THE CONJECTURE FOR QUADRATIC AND SOLVABLE LIE ALGEBRAS, WHICH IS RELATIVELY ELEMENTARY; - EXTEND THE METHOD TO SYMMETRIC SPACES; HERE AN OBSTRUCTION APPEARS, EMBODIED IN A SINGLE REMARKABLE OBJECT CALLED AN E-FUNCTION ; - EXPLAIN THE ROLE OF THIS FUNCTION IN INVARIANT ANALYSIS ON SYMMETRIC SPACES, ITS RELATION TO INVARIANT DIFFERENTIAL OPERATORS, MEAN VALUE OPERATORS AND SPHERICAL FUNCTIONS; - GIVE AN EXPLICIT E-FUNCTION FOR RANK ONE SPACES (THE HYPERBOLIC SPACES); - CONSTRUCT AN E-FUNCTION FOR GENERAL SYMMETRIC SPACES, IN THE SPIRIT OF KASHIWARA AND VERGNE S ORIGINAL WORK FOR LIE GROUPS. THE BOOK INCLUDES A COMPLETE REWRITING OF SEVERAL ARTICLES BY THE AUTHOR, UPDATED AND IMPROVED FOLLOWING ALEKSEEV, MEINRENKEN AND TOROSSIAN S RECENT PROOFS OF THE CONJECTURE. THE CHAPTERS ARE LARGELY INDEPENDENT OF EACH OTHER. SOME OPEN PROBLEMS ARE SUGGESTED TO ENCOURAGE FUTURE RESEARCH. IT IS AIMED AT GRADUATE STUDENTS AND RESEARCHERS WITH A BASIC KNOWLEDGE OF LIE THEORY DIESES SCHRIFTSTUECK WURDE MASCHINELL ERZEUGT.
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spelling	Rouvière, François Verfasser aut Symmetric spaces and the Kashiwara-Vergne method François Rouvière Cham [u.a.] Springer 2014 1 Online-Ressource (XXI, 196 S.) txt rdacontent c rdamedia cr rdacarrier Lecture notes in mathematics 2115 Lie-Theorie (DE-588)4251836-2 gnd rswk-swf Symmetrischer Raum (DE-588)4184206-6 gnd rswk-swf Lie-Gruppe (DE-588)4035695-4 gnd rswk-swf Symmetrischer Raum (DE-588)4184206-6 s Lie-Gruppe (DE-588)4035695-4 s Lie-Theorie (DE-588)4251836-2 s 1\p DE-604 Erscheint auch als Druck-Ausgabe, Paperback 978-3-319-09772-5 Lecture notes in mathematics 2115 (DE-604)BV014303148 2115 https://doi.org/10.1007/978-3-319-09773-2 Verlag Volltext Springer Fremddatenuebernahme application/pdf http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027661732&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=027661732&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA Abstract 1\p cgwrk 20201028 DE-101 https://d-nb.info/provenance/plan#cgwrk
spellingShingle	Rouvière, François Symmetric spaces and the Kashiwara-Vergne method Lecture notes in mathematics Lie-Theorie (DE-588)4251836-2 gnd Symmetrischer Raum (DE-588)4184206-6 gnd Lie-Gruppe (DE-588)4035695-4 gnd
subject_GND	(DE-588)4251836-2 (DE-588)4184206-6 (DE-588)4035695-4
title	Symmetric spaces and the Kashiwara-Vergne method
title_auth	Symmetric spaces and the Kashiwara-Vergne method
title_exact_search	Symmetric spaces and the Kashiwara-Vergne method
title_full	Symmetric spaces and the Kashiwara-Vergne method François Rouvière
title_fullStr	Symmetric spaces and the Kashiwara-Vergne method François Rouvière
title_full_unstemmed	Symmetric spaces and the Kashiwara-Vergne method François Rouvière
title_short	Symmetric spaces and the Kashiwara-Vergne method
title_sort	symmetric spaces and the kashiwara vergne method
topic	Lie-Theorie (DE-588)4251836-2 gnd Symmetrischer Raum (DE-588)4184206-6 gnd Lie-Gruppe (DE-588)4035695-4 gnd
topic_facet	Lie-Theorie Symmetrischer Raum Lie-Gruppe
url	https://doi.org/10.1007/978-3-319-09773-2 http://bvbr.bib-bvb.de:8991/F?func=service&doc_library=BVB01&local_base=BVB01&doc_number=027661732&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=027661732&sequence=000003&line_number=0002&func_code=DB_RECORDS&service_type=MEDIA
volume_link	(DE-604)BV014303148
work_keys_str_mv	AT rouvierefrancois symmetricspacesandthekashiwaravergnemethod

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