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1 Burnside Mathematics- Lie Groups and Algebra

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

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

 

Synopses & Reviews

Publisher Comments:

Algebras of operators arise frequently in the study of representations of Lie groups, both finite-dimensional and infinite-dimensional. This book begins with extensive background material that covers definitions and terminology, operators in Hilbert space, and the imprimitivity theorem.

Advancing to considerations of the algebras of operators in Hilbert space, the heart of the text examines domains of representations, operators in the enveloping algebra, and spectral theory. The final section explores covariant representations and connections, with a particular focus on infinite-dimensional Lie algebras. A helpful Appendix on the integrability of Lie algebras concludes the text.

Synopsis:

This survey of operators in Hilbert space offers extensive background material and covers domains of representation, operators in the enveloping algebra, spectral theory, covariant representation, and infinite-dimensional Lie algebras. 1988 edition.
 

Synopsis:

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.

Table of Contents

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
 

Product Details

ISBN:
9780486466651
Author:
Jorgensen, Palle E T
Publisher:
Dover Publications
Foreword by:
Klink, William
Foreword:
Klink, William
Author:
Physics
Author:
Jorgensen, Palle E. T.
Subject:
Representations of algebras
Subject:
Operator algebras
Subject:
Algebra - Linear
Subject:
Mathematical Physics
Subject:
Quantum Theory
Subject:
Mathematics-Linear Algebra
Copyright:
Edition Description:
Trade Paper
Series:
Dover Books on Physics
Publication Date:
20080531
Binding:
TRADE PAPER
Language:
English
Illustrations:
Y
Pages:
352
Dimensions:
9.25 x 6.5 in 1.07 lb

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Related Subjects

Humanities » Philosophy » General
Science and Mathematics » Mathematics » Algebra » General
Science and Mathematics » Mathematics » Algebra » Lie Groups and Algebra
Science and Mathematics » Mathematics » Algebra » Linear Algebra
Science and Mathematics » Mathematics » Group Theory
Science and Mathematics » Mathematics » Probability and Statistics » General
Science and Mathematics » Mathematics » Probability and Statistics » Statistics
Science and Mathematics » Physics » General
Science and Mathematics » Physics » Math
Science and Mathematics » Physics » Quantum Mechanics

Operators and Representation Theory: Canonical Models for Algebras of Operators Arising in Quantum Mechanics / Palle E.T. Jorgensen Used Trade Paper
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Product details 352 pages Dover Publications - English 9780486466651 Reviews:
"Synopsis" by ,
This survey of operators in Hilbert space offers extensive background material and covers domains of representation, operators in the enveloping algebra, spectral theory, covariant representation, and infinite-dimensional Lie algebras. 1988 edition.
 
"Synopsis" by ,
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.
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