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
List Price: $41.00
AMS Member Price: $24.60
MAA Member Price: $36.90
Electronic ISBN: 978-1-4704-0111-5
Product Code: MEMO/111/532.E
List Price: $41.00
AMS Member Price: $24.60
MAA Member Price: $36.90
The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras
Share this pageHans 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.
Readership
Researchers and Ph.D. students in mathematics and theoretical physics.
Table of Contents
Table of Contents
The Full Set of Unitarizable Highest Weight Modules of Basic Classical Lie Superalgebras
- Contents v6 free
- Chapter 1. Introduction 18 free
- Chapter 2. Classical Lie superalgebras 411 free
- Chapter 3. Background results 1118
- Chapter 4. The unitarizable highest weight modules of A(n, m), m ≠ n 1926
- Chapter 5. Infinite dimensional unitary representations of A{n, m), m ≠ n 2936
- Chapter 6. A(n,n) 4350
- Chapter 7. The unitarizable highest weight modules of B{m, n), m > 0 4552
- Chapter 8. The unitarizable highest weight modules of D(m, n) 6471
- Chapter 9. Borderline cases 7885
- Chapter 10. F(4) 8794
- Chapter 11. G(3) 102109
- Chapter 12. D(2,1,α) 106113
- Chapter 13. Further developments 112119
- References 115122