The Resource Symmetric Spaces and the Kashiwara-Vergne Method, by François Rouvière, (electronic resource)

Symmetric Spaces and the Kashiwara-Vergne Method, by François Rouvière, (electronic resource)

Label
Symmetric Spaces and the Kashiwara-Vergne Method
Title
Symmetric Spaces and the Kashiwara-Vergne Method
Statement of responsibility
by François Rouvière
Creator
Contributor
Author
Provider
Subject
Language
eng
Summary
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
Member of
http://library.link/vocab/creatorName
Rouvière, François
Image bit depth
0
LC call number
QA403-403.3
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
  • Non-associative Rings and Algebras
  • Global Analysis and Analysis on Manifolds
Label
Symmetric Spaces and the Kashiwara-Vergne Method, by François Rouvière, (electronic resource)
Instantiates
Publication
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 Kashiwara-Vergne method for Lie groups -- Convolution on homogeneous spaces -- The role of e-functions -- e-functions 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
10.1007/978-3-319-09773-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-09773-2
Label
Symmetric Spaces and the Kashiwara-Vergne Method, by François Rouvière, (electronic resource)
Publication
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 Kashiwara-Vergne method for Lie groups -- Convolution on homogeneous spaces -- The role of e-functions -- e-functions 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
10.1007/978-3-319-09773-2
Other physical details
online resource.
Quality assurance targets
absent
Reformatting quality
access
Specific material designation
remote
System control number
(DE-He213)978-3-319-09773-2

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