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Operators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics
by Palle E.T. Jorgensen

ISBN: 0486466655
Dover Publications Price: $19.95
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The algebras of operators arise frequently in the study of representations of Lie groups, both finite-dimensional and infinite-dimensional. This survey begins with extensive background material and advances to considerations of the algebras of operators in Hilbert space and covariant representations and connections. 1988 edition.
Reprint of the North-Holland, Amsterdam and New York, 1988 edition.

Table of Contents for Operators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics
Foreword
Preface to the Dover Edition
Preface
Acknowledgments
Part I. Background Material
1. Introduction and Overview
2. Definitions and Terminology
3. Operators in Hilbert Space
4. The Imprimitivity Theorem
Part II. Algebras of Operators on Hilbert Space
5. Domains of Representations
6. Operators in the Enveloping Algebra
7. Spectral Theory
Part III. Covariant Representations and Connections
8. Infinite-Dimensional Lie Algebras
Appendix. Integrability of Lie Algebras
Bibliography
Index

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