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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

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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