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Representations of Infinite-Dimensional Groups

R. S. Ismagilov Moscow Institute of Steel & Alloys
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Hardcover ISBN: 978-0-8218-0418-6
Product Code: MMONO/152
List Price: $102.00 MAA Member Price:$91.80
AMS Member Price: $81.60 Electronic ISBN: 978-1-4704-4567-6 Product Code: MMONO/152.E List Price:$96.00
MAA Member Price: $86.40 AMS Member Price:$76.80
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List Price: $153.00 MAA Member Price:$137.70
AMS Member Price: $122.40 Click above image for expanded view Representations of Infinite-Dimensional Groups R. S. Ismagilov Moscow Institute of Steel & Alloys Available Formats:  Hardcover ISBN: 978-0-8218-0418-6 Product Code: MMONO/152  List Price:$102.00 MAA Member Price: $91.80 AMS Member Price:$81.60
 Electronic ISBN: 978-1-4704-4567-6 Product Code: MMONO/152.E
 List Price: $96.00 MAA Member Price:$86.40 AMS Member Price: $76.80 Bundle Print and Electronic Formats and Save! This product is available for purchase as a bundle. Purchasing as a bundle enables you to save on the electronic version.  List Price:$153.00 MAA Member Price: $137.70 AMS Member Price:$122.40
• Book Details

Translations of Mathematical Monographs
Volume: 1521996; 197 pp
MSC: Primary 22; Secondary 17; 58; 60; 81;

This book is devoted to representations of two classes of infinite-dimensional groups: current groups and diffeomorphism groups. The author presents a complete treatment of the subject, including general methods for constructing irreducible representations of infinite-dimensional groups and general results about such representations. He also exhibits deep relations between representations of infinite-dimensional groups and the theory of Fock spaces, the theory of point random processes, and other branches of mathematics.

Graduate students and research mathematicians interested in representation theory, functional analysis, and mathematical physics.

• Chapters
• Introduction
• Chapter 1. Some general constructions related to representations
• Chapter 2. Representations of the group of measurable currents
• Chapter 3. Representations of the group of smooth currents
• Chapter 4. Certain results on diffeomorphism groups
• Chapter 5. Representations of diffeomorphism groups associated with the configuration spaces
• Chapter 6. Representations of certain group extensions
• Chapter 7. Representations of diffeomorphism groups in the Fock space
• Chapter 8. Representations of groups of foliation preserving diffeomorphisms
• Reviews

• Very clear and will be useful to those who would become initiated in the theory of representations of current groups and diffeomorphism groups.

Mathematical Reviews
• Request Review Copy
• Get Permissions
Volume: 1521996; 197 pp
MSC: Primary 22; Secondary 17; 58; 60; 81;

This book is devoted to representations of two classes of infinite-dimensional groups: current groups and diffeomorphism groups. The author presents a complete treatment of the subject, including general methods for constructing irreducible representations of infinite-dimensional groups and general results about such representations. He also exhibits deep relations between representations of infinite-dimensional groups and the theory of Fock spaces, the theory of point random processes, and other branches of mathematics.

Graduate students and research mathematicians interested in representation theory, functional analysis, and mathematical physics.

• Chapters
• Introduction
• Chapter 1. Some general constructions related to representations
• Chapter 2. Representations of the group of measurable currents
• Chapter 3. Representations of the group of smooth currents
• Chapter 4. Certain results on diffeomorphism groups
• Chapter 5. Representations of diffeomorphism groups associated with the configuration spaces
• Chapter 6. Representations of certain group extensions
• Chapter 7. Representations of diffeomorphism groups in the Fock space
• Chapter 8. Representations of groups of foliation preserving diffeomorphisms
• Very clear and will be useful to those who would become initiated in the theory of representations of current groups and diffeomorphism groups.

Mathematical Reviews
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