1.

Record Nr.

UNINA9910811637203321

Autore

Enright Thomas J.

Titolo

Categories of highest weight modules : applications to classical Hermitian symmetric pairs / / Thomas J. Enright and Brad Shelton

Pubbl/distr/stampa

Providence, Rhode Island, United States : , : American Mathematical Society, , 1987

©1987

ISBN

1-4704-0783-3

Descrizione fisica

1 online resource (102 p.)

Collana

Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 67, Number 367

Disciplina

512/.2

Soggetti

Modular representations of groups

Semisimple Lie groups

Verma modules

Kazhdan-Lusztig polynomials

Lingua di pubblicazione

Inglese

Formato

Materiale a stampa

Livello bibliografico

Monografia

Note generali

"May 1987, Volume 67, Number 367 (end of volume)"--Cover.

Nota di bibliografia

Includes bibliographical references.

Nota di contenuto

""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""