Volume 1 Noncompact Semisimple Lie Algebras and Groups

Book

Volume 1 Noncompact Semisimple Lie Algebras and Groups

Part of the multi-volume work

Invariant Differential Operators

Language: English

Published/Copyright: 2016

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This book is in the series

Volume 35 | De Gruyter Studies in Mathematical Physics

About this book

With applications in quantum field theory, elementary particle physics and general relativity, this two-volume work studies invariance of differential operators under Lie algebras, quantum groups, superalgebras including infinite-dimensional cases, Schrödinger algebras, applications to holography. This first volume covers the general aspects of Lie algebras and group theory supplemented by many concrete examples for a great variety of noncompact semisimple Lie algebras and groups.

Contents:
Introduction
Lie Algebras and Groups
Real Semisimple Lie Algebras
Invariant Differential Operators
Case of the Anti-de Sitter Group
Conformal Case in 4D
Kazhdan–Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations
Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras
Multilinear Invariant Differential Operators from New Generalized Verma Modules
Bibliography
Author Index
Subject Index

Author / Editor information

Vladimir Dobrev, Bulgarian Academy of Sciences, Sofia, Bulgaria.

Reviews

"The book would be helpful for theoretical physicists interested in applications of representation theory."
Michael Pevzner in: Mathematical Reviews December 2017, MR3561099

Topics

Frontmatter Publicly Available Download PDF	I
Preface Requires Authentication Unlicensed Licensed	V
Contents Publicly Available Download PDF	VII
1. Introduction Requires Authentication Unlicensed Licensed	1
2. Lie Algebras and Groups Requires Authentication Unlicensed Licensed	11
3. Real Semisimple Lie Algebras Requires Authentication Unlicensed Licensed	93
4. Invariant Differential Operators Requires Authentication Unlicensed Licensed	133
5. Case of the Anti-de Sitter Group Requires Authentication Unlicensed Licensed	162
6. Conformal Case in 4D Requires Authentication Unlicensed Licensed	188
7. Kazhdan–Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations Requires Authentication Unlicensed Licensed	238
8. Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras Requires Authentication Unlicensed Licensed	271
9. Multilinear Invariant Differential Operators from New Generalized Verma Modules Requires Authentication Unlicensed Licensed	353
Bibliography Requires Authentication Unlicensed Licensed	375
Author Index Requires Authentication Unlicensed Licensed	403
Subject Index Requires Authentication Unlicensed Licensed	405
Backmatter Requires Authentication Unlicensed Licensed	409

Publishing information

Pages and Images/Illustrations in book

eBook published on:

September 12, 2016

eBook ISBN:

9783110427646

Hardcover published on:

September 12, 2016

Hardcover ISBN:

9783110435429

Pages and Images/Illustrations in book

Front matter:

12

Main content:

409

Tables:

9

https://doi.org/10.1515/9783110427646

eBook ISBN: 9783110427646

Hardcover ISBN: 9783110435429

Keywords for this book

Invarianter Differentialoperator; Superalgebra; Lie-Algebra; Quantengruppe

Audience(s) for this book

Researchers in Mathematics and Mathematical and Theoretical Physics.

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Manufacturer information:
Walter de Gruyter GmbH
Genthiner Straße 13
10785 Berlin
productsafety@degruyterbrill.com

Volume 1 Noncompact Semisimple Lie Algebras and Groups

Overview

About this book

Author / Editor information

Reviews

Topics

Table of contents

Bibliographic data