Symmetric Spaces and the Kashiwara-Vergne Method
François Rouvière
Reading Time
at 250 WPM3h 40m
The average reader, reading at a speed of 250 WPM, would take 3h 40m to read Symmetric Spaces and the Kashiwara-Vergne Method.
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8
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220
total minutes
Symmetric Spaces and the Kashiwara-Vergne Method
Published
Oct 14, 2014
Publisher
Springer
Pages
220
ISBN-13
9783319097725
ISBN-10
3319097725
Description
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.
Subjects
Algebraic Structures of Symmetric Domains
Lie theory
Symmetric spaces
Causal symmetric spaces
Foundations of Symmetric Spaces of Measurable Functions
Spaces of constant curvature
Frequently Asked Questions
How many pages are in Symmetric Spaces and the Kashiwara-Vergne Method?
This edition of Symmetric Spaces and the Kashiwara-Vergne Method has approximately 220 pages. Please note, this is an estimate and the exact page count can vary between hardcover, paperback, and e-book versions.
How long does it take to read Symmetric Spaces and the Kashiwara-Vergne Method?
For most readers, Symmetric Spaces and the Kashiwara-Vergne Method typically takes between 4h 35m and 3h 3m to complete. This is based on the book's length of approximately 55,000 words and common reading speeds.
Here's a detailed breakdown: • Continuous reading at 250 WPM: approximately 3h 40m of focused reading • Casual reading (30 minutes/day): you could finish in roughly 8 days • Estimated word count: 55,000 words
Your individual reading time will vary based on your personal reading pace, the amount of daily reading time, and your familiarity with the subject matter.
What is the word count of Symmetric Spaces and the Kashiwara-Vergne Method?
The estimated word count for Symmetric Spaces and the Kashiwara-Vergne Method is approximately 55,000 words. This figure is calculated using industry-standard methods that consider genre-specific word density patterns, typical formatting and layout characteristics, and standard words-per-page ratios for published books.
This is an approximation — actual word count may vary based on font size, formatting, edition, and the presence of illustrations or charts.
Who is the author of Symmetric Spaces and the Kashiwara-Vergne Method?
Symmetric Spaces and the Kashiwara-Vergne Method was written by François Rouvière.
When was Symmetric Spaces and the Kashiwara-Vergne Method published?
The publication date for this specific edition is Oct 14, 2014. The original work may have been published on a different date.