
- 740 pages
- English
- PDF
- Available on iOS & Android
eBook - PDF
Theory of Group Representations and Applications
About this book
The material collected in this book originated from lectures given by authors over many years in Warsaw, Trieste, Schladming, Istanbul, Goteborg and Boulder. There is no other comparable book on group representations, neither in mathematical nor in physical literature and it is hoped that this book will prove to be useful in many areas of research. It is highly recommended as a textbook for an advanced course in mathematical physics on Lie algebras, Lie groups and their representations.
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Yes, you can access Theory of Group Representations and Applications by A Barut, R Raczka;;; in PDF and/or ePUB format, as well as other popular books in Mathematics & Mathematics General. We have over one million books available in our catalogue for you to explore.
Information
Table of contents
- Contents
- Preface
- Outline of the Book
- Notations
- Chapter 1 Lie Algebras
- Chapter 2 Topological Groups
- Chapter 3 Lie Groups
- Chapter 4 Homogeneous and Symmetric Spaces
- Chapter 5 Group Representations
- Chapter 6 Representations of Commutative Groups
- Chapter 7 Representations of Compact Groups
- Chapter 8 Finite-Dimensional Representations of Lie Groups
- Chapter 9 Tensor Operators, Enveloping Algebras and Enveloping Fields
- Chapter 10 The Explicit Construction of Finite-Dimensional Irreducible Representations
- Chapter 11 Representation Theory of Lie and Enveloping Algebras by Unbounded Operators: Analytic Vectors and Integrability
- Chapter 12 Quantum Dynamical Applications of Lie Algebra Representations
- Chapter 13 Group Theory and Group Representations in Quantum Theory
- Chapter 14 Harmonic Analysis on Lie Groups. Special Functions and Group Representations
- Chapter 15 Harmonic Analysis on Homogeneous Spaces
- Chapter 16 Induced Representations
- Chapter 17 Induced Representations of Semidirect Products
- Chapter 19 Induced Representations of Semisimple Lie Groups
- Chapter 20 Applications of Induced Representations
- Chapter 21 Group Representations in Relativistic Quantum Theory
- Appendix A Algebra, Topology, Measure and Integration Theory
- Appendix B Functional Analysis
- Bibliography
- Author Index
- Subject Index