TY  - BOOK
AU  - Enright,Thomas J.
AU  - Shelton,Brad
TI  - Categories of Highest Weight Modules: Applications to Classical Hermitian Symmetric Pairs
T2  - Memoirs of the American Mathematical Society
SN  - 9781470407834
AV  - QA3 -- .E575 1987eb 
U1  - 512/.2 
PY  - 1987///
CY  - Providence
PB  - American Mathematical Society
KW  - Modular representations of groups
KW  - Semisimple Lie groups
KW  - Verma modules
KW  - Kazhdan-Lusztig polynomials
KW  - Electronic books
N1  - Intro -- Table of Contents -- 1. Introduction and summary of results -- Part I: Categories of Highest Weight Modules -- 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(u[sup(-)])-free self-dual g-modules -- Bibliography
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113997
ER  -