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The Resource Symmetric Spaces and the KashiwaraVergne Method, by François Rouvière, (electronic resource)
Symmetric Spaces and the KashiwaraVergne Method, by François Rouvière, (electronic resource)
Resource Information
The item Symmetric Spaces and the KashiwaraVergne Method, by François Rouvière, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.This item is available to borrow from all library branches.
Resource Information
The item Symmetric Spaces and the KashiwaraVergne Method, by François Rouvière, (electronic resource) represents a specific, individual, material embodiment of a distinct intellectual or artistic creation found in Boston University Libraries.
This item is available to borrow from all library branches.
 Summary
 Gathering and updating results scattered in journal articles over thirty years, this selfcontained 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 CampbellHausdorff formula (the "KashiwaraVergne 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 "efunction";  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 efunction for rank one spaces (the hyperbolic spaces);  construct an efunction 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
 Language
 eng
 Extent
 XXI, 196 p.
 Contents

 Introduction
 Notation
 The KashiwaraVergne method for Lie groups
 Convolution on homogeneous spaces
 The role of efunctions
 efunctions and the Campbell Hausdorff formula
 Bibliography
 Isbn
 9783319097732
 Label
 Symmetric Spaces and the KashiwaraVergne Method
 Title
 Symmetric Spaces and the KashiwaraVergne Method
 Statement of responsibility
 by François Rouvière
 Subject

 Algebra
 Algebra
 Differential Geometry
 Electronic resources
 Global Analysis and Analysis on Manifolds
 Global analysis
 Global differential geometry
 Global differential geometry
 Global differential geometry
 Harmonic analysis
 Harmonic analysis
 Harmonic analysis
 Mathematics
 Mathematics
 Mathematics
 Nonassociative Rings and Algebras
 Abstract Harmonic Analysis
 Algebra
 Language
 eng
 Summary
 Gathering and updating results scattered in journal articles over thirty years, this selfcontained 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 CampbellHausdorff formula (the "KashiwaraVergne 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 "efunction";  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 efunction for rank one spaces (the hyperbolic spaces);  construct an efunction 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
 http://library.link/vocab/creatorName
 Rouvière, François
 Image bit depth
 0
 LC call number
 QA403403.3
 Literary form
 non fiction
 http://library.link/vocab/relatedWorkOrContributorName
 SpringerLink
 Series statement
 Lecture Notes in Mathematics,
 Series volume
 2115
 http://library.link/vocab/subjectName

 Mathematics
 Algebra
 Harmonic analysis
 Global analysis
 Global differential geometry
 Mathematics
 Abstract Harmonic Analysis
 Differential Geometry
 Nonassociative Rings and Algebras
 Global Analysis and Analysis on Manifolds
 Label
 Symmetric Spaces and the KashiwaraVergne Method, by François Rouvière, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Notation  The KashiwaraVergne method for Lie groups  Convolution on homogeneous spaces  The role of efunctions  efunctions and the Campbell Hausdorff formula  Bibliography
 Dimensions
 unknown
 Extent
 XXI, 196 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319097732
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319097732
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319097732
 Label
 Symmetric Spaces and the KashiwaraVergne Method, by François Rouvière, (electronic resource)
 Antecedent source
 mixed
 Carrier category
 online resource
 Carrier category code

 cr
 Carrier MARC source
 rdacarrier
 Color
 not applicable
 Content category
 text
 Content type code

 txt
 Content type MARC source
 rdacontent
 Contents
 Introduction  Notation  The KashiwaraVergne method for Lie groups  Convolution on homogeneous spaces  The role of efunctions  efunctions and the Campbell Hausdorff formula  Bibliography
 Dimensions
 unknown
 Extent
 XXI, 196 p.
 File format
 multiple file formats
 Form of item
 electronic
 Isbn
 9783319097732
 Level of compression
 uncompressed
 Media category
 computer
 Media MARC source
 rdamedia
 Media type code

 c
 Other control number
 10.1007/9783319097732
 Other physical details
 online resource.
 Quality assurance targets
 absent
 Reformatting quality
 access
 Specific material designation
 remote
 System control number
 (DEHe213)9783319097732
Subject
 Algebra
 Algebra
 Differential Geometry
 Electronic resources
 Global Analysis and Analysis on Manifolds
 Global analysis
 Global differential geometry
 Global differential geometry
 Global differential geometry
 Harmonic analysis
 Harmonic analysis
 Harmonic analysis
 Mathematics
 Mathematics
 Mathematics
 Nonassociative Rings and Algebras
 Abstract Harmonic Analysis
 Algebra
Member of
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<div class="citation" vocab="http://schema.org/"><i class="fa faexternallinksquare fafw"></i> Data from <span resource="http://link.bu.edu/portal/SymmetricSpacesandtheKashiwaraVergneMethod/b8bvMLfsLnw/" typeof="Book http://bibfra.me/vocab/lite/Item"><span property="name http://bibfra.me/vocab/lite/label"><a href="http://link.bu.edu/portal/SymmetricSpacesandtheKashiwaraVergneMethod/b8bvMLfsLnw/">Symmetric Spaces and the KashiwaraVergne Method, by François Rouvière, (electronic resource)</a></span>  <span property="potentialAction" typeOf="OrganizeAction"><span property="agent" typeof="LibrarySystem http://library.link/vocab/LibrarySystem" resource="http://link.bu.edu/"><span property="name http://bibfra.me/vocab/lite/label"><a property="url" href="http://link.bu.edu/">Boston University Libraries</a></span></span></span></span></div>