Volume 2 Quantum Groups

Vladimir K. Dobrev

Open Access Published by De Gruyter 2017

Volume 2 Quantum Groups

Vladimir K. Dobrev

Part of the multi-volume work Invariant Differential Operators

Volume 39 in the series De Gruyter Studies in Mathematical Physics

https://doi.org/10.1515/9783110427707

Overview
Contents

About this book

With applications in quantum field theory, general relativity and elementary particle physics, this three-volume work studies the invariance of differential operators under Lie algebras, quantum groups and superalgebras. This second volume covers quantum groups in their two main manifestations: quantum algebras and matrix quantum groups. The exposition covers both the general aspects of these and a great variety of concrete explicitly presented examples. The invariant q-difference operators are introduced mainly using representations of quantum algebras on their dual matrix quantum groups as carrier spaces. This is the first book that covers the title matter applied to quantum groups.

Contents
Quantum Groups and Quantum Algebras
Highest-Weight Modules over Quantum Algebras
Positive-Energy Representations of Noncompact Quantum Algebras
Duality for Quantum Groups
Invariant q-Difference Operators
Invariant q-Difference Operators Related to GLq(n)
q-Maxwell Equations Hierarchies

Author / Editor information

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

Topics

Frontmatter Publicly Available Download PDF	I
Preface Open Access Download PDF	V
Contents Publicly Available Download PDF	VII
1 Quantum Groups and Quantum Algebras Open Access Download PDF	1
2 Highest-Weight Modules over Quantum Algebras Open Access Download PDF	34
3 Positive-Energy Representations of Noncompact Quantum Algebras Open Access Download PDF	86
4 Duality for Quantum Groups Open Access Download PDF	107
5 Invariant q-Difference Operators Open Access Download PDF	199
6 Invariant q-Difference Operators Related to GL_q(n) Open Access Download PDF	261
7 q-Maxwell Equations Hierarchies Open Access Download PDF	327
Bibliography Open Access Download PDF	361
Author Index Open Access Download PDF	391
Subject Index Open Access Download PDF	392

(Deutsch)

Language: English
Publisher: De Gruyter
Audience: Researchers in Mathematics and Mathematical and Theoretical Physics.
Pages
- Front matter: 11
- Main content: 395
Illustrations
- Illustrations: 1

eBook

Published: July 10, 2017
ISBN: 9783110427707

Hardcover

Published: July 10, 2017
ISBN: 9783110435436