Symmetric Spaces and the Kashiwara-Vergne Method

• Main Author: Rouvière, François (Author)
• Corporate Author: SpringerLink (Online service)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2014.
• Series: Lecture Notes in Mathematics, 2115
• Subjects: Mathematics.; Nonassociative rings.; Rings (Algebra).; Harmonic analysis.; Global analysis (Mathematics).; Manifolds (Mathematics).; Differential geometry.; Abstract Harmonic Analysis.; Differential Geometry.; Non-associative Rings and Algebras.; Global Analysis and Analysis on Manifolds.

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 v...

Table of 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.