AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution
The full set of unitarizable highest weight modules of basic classical Lie superalgebras
About this Title
Hans Plesner Jakobsen
Publication: Memoirs of the American Mathematical Society
Publication Year:
1994; Volume 111, Number 532
ISBNs: 978-0-8218-2593-8 (print); 978-1-4704-0111-5 (online)
DOI: https://doi.org/10.1090/memo/0532
MathSciNet review: 1214730
MSC: Primary 17B10
Table of Contents
Chapters
- 1. Introduction
- 2. Classical Lie superalgebras
- 3. Background results
- 4. The unitarizable highest weight modules of $A(n, m)$, $m \neq n$
- 5. Infinite dimensional unitary representations of $A(n, m)$, $m \neq n$
- 6. $A(n, n)$
- 7. The unitarizable highest weight modules of $B(m, n)$, $m > 0$
- 8. The unitarizable highest weight modules of $D(m, n)$
- 9. Borderline cases
- 10. $F(4)$
- 11. $G(3)$
- 12. $D(2, 1, \alpha )$
- 13. Further developments