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A filtered category $\scr O_{S}$ and applications
About this Title
Ronald S. Irving
Publication: Memoirs of the American Mathematical Society
Publication Year:
1990; Volume 83, Number 419
ISBNs: 978-0-8218-2482-5 (print); 978-1-4704-0842-8 (online)
DOI: https://doi.org/10.1090/memo/0419
MathSciNet review: 978603
MSC: Primary 17B10; Secondary 17B35, 22E47
Table of Contents
Chapters
- Part I. Introduction
- 1. Introduction
- Part II. The Hecke module
- 2. The simple and Verma bases
- 3. The projective and self-dual bases
- 4. The specialized Hecke module
- Part III. The filtered category $\mathcal {O}_S$
- 5. The category $\mathcal {O}$ and translation functors
- 6. The filtered category $\mathcal {O}_S$ and translation functors
- Part IV. Applications
- 7. Radical filtrations of generalized Verma modules and projective modules
- 8. Self-dual projective modules and their filtered characters
- 9. Self-dual modules with a Verma flag and their filtered characters