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Categories of highest weight modules: applications to classical Hermitian symmetric pairs
About this Title
Thomas J. Enright and Brad Shelton
Publication: Memoirs of the American Mathematical Society
Publication Year:
1987; Volume 67, Number 367
ISBNs: 978-0-8218-2429-0 (print); 978-1-4704-0783-4 (online)
DOI: https://doi.org/10.1090/memo/0367
MathSciNet review: 888703
MSC: Primary 22E47; Secondary 17B10
Table of Contents
Chapters
- 1. Introduction and summary of results
- Part I
- 2. Notation
- 3. Preliminary results
- 4. Reduction of singularities
- 5. The Zuckerman derived functors
- 6. An equivalence of categories
- 7. A second equivalence of categories
- Part II. Highest weight modules for Hermitian symmetric pairs
- 8. Statement of the main results
- 9. Additional notation and preliminary results
- 10. Wall shifting
- 11. Induction from lower rank
- 12. Proof of Theorem 8.4
- 13. Proof of Theorem 8.5
- 14. Projective resolutions and Ext
- 15. Kazhdan-Lusztig polynomials
- 16. Decompositions of $U(\underline {u}^-)$-free self-dual $\underline {g}$-modules