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Representations of Semisimple Lie Algebras in the BGG Category $\mathscr{O}$
About this Title
James E. Humphreys, University of Massachusetts, Amherst, Amherst, MA
Publication: Graduate Studies in Mathematics
Publication Year:
2008; Volume 94
ISBNs: 978-0-8218-4678-0 (print); 978-1-4704-2120-5 (online)
DOI: https://doi.org/10.1090/gsm/094
MathSciNet review: MR2428237
MSC: Primary 17B10
Table of Contents
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Front/Back Matter
Chapters
- Chapter 0. Review of semisimple Lie algebras
Part 1. Highest weight modules
- Chapter 1. Category $\mathcal {O}$: Basics
- Chapter 2. Characters of finite dimensional modules
- Chapter 3. Category $\mathcal {O}$: Methods
- Chapter 4. Highest weight modules I
- Chapter 5. Highest weight modules II
- Chapter 6. Extensions and resolutions
- Chapter 7. Translation functors
- Chapter 8. Kazhdan-Lusztig theory
Part 2. Further developments
- Chapter 9. Parabolic versions of category $\mathcal {O}$
- Chapter 10. Projective functors and principal series
- Chapter 11. Tilting modules
- Chapter 12. Twisting and completion functors
- Chapter 13. Complements