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book: Volume 1 Noncompact Semisimple Lie Algebras and Groups
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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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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

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Licensed 		V
Contents

Publicly Available Download PDF 		VII
1. Introduction

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Licensed 		1
2. Lie Algebras and Groups

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Licensed 		11
3. Real Semisimple Lie Algebras

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4. Invariant Differential Operators

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5. Case of the Anti-de Sitter Group

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6. Conformal Case in 4D

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Licensed 		188
7. Kazhdan–Lusztig Polynomials, Subsingular Vectors, and Conditionally Invariant Equations

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Licensed 		238
8. Invariant Differential Operators for Noncompact Lie Algebras Parabolically Related to Conformal Lie Algebras

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9. Multilinear Invariant Differential Operators from New Generalized Verma Modules

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Bibliography

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Author Index

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Subject Index

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Backmatter

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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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