Memoirs of the American Mathematical Society
1994; 116 pp; Softcover
MSC: Primary 17; 46; Secondary 22; 81

Print ISBN: 978-0-8218-2593-8
Product Code: MEMO/111/532
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Electronic ISBN: 978-1-4704-0111-5
Product Code: MEMO/111/532.E
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The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras

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Hans Plesner Jakobsen

This work contains a complete description of the set of all unitarizable highest weight modules of classical Lie superalgebras. Unitarity is defined in the superalgebraic sense, and all the algebras are over the complex numbers. Part of the classification determines which real forms, defined by anti-linear anti-involutions, may occur. Although there have been many investigations for some special superalgebras, this appears to be the first systematic study of the problem.

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Researchers and Ph.D. students in mathematics and theoretical physics.

The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras

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Print Product Code: MEMO/111/532

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Title (HTML): The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras

Author(s) (Product display): Hans Plesner Jakobsen

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Book Series Name: Memoirs of the American Mathematical Society

Publication Month and Year: 1994-10-07

Page Count: 116

Cover Type: Softcover

Print ISBN-13: 978-0-8218-2593-8

Online ISBN 13: 978-1-4704-0111-5

Print ISSN: 0065-9266

Online ISSN: 0065-9266

Primary MSC: 17; 46

Secondary MSC: 22; 81

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Contents
- Contents
Chapter 1. Introduction
- Chapter 1. Introduction
Chapter 2. Classical Lie superalgebras
- Chapter 2. Classical Lie superalgebras

The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras

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Table of Contents

The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras

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Contents

Chapter 1. Introduction

Chapter 2. Classical Lie superalgebras