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

• Autore: Enright Thomas J.
• Pubblicazione: Providence, Rhode Island, United States : , : American Mathematical Society, , 1987; ©1987
• Descrizione fisica: 1 online resource (102 p.)
• Disciplina: 512/.2
• Soggetto topico: Modular representations of groups; Semisimple Lie groups; Verma modules; Kazhdan-Lusztig polynomials
• Persona (resp. second.): SheltonBrad <1958->
• 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(â€?)])-free self-dual g-modules""; ""Bibliography""
• Titolo autorizzato: Categories of highest weight modules
• ISBN: 1-4704-0783-3
• Formato: Materiale a stampa
• Livello bibliografico: Monografia
• Lingua di pubblicazione: Inglese
• Record Nr.: 9910788883703321
• Lo trovi qui: Univ. Federico II
• Serie: Memoirs of the American Mathematical Society ; ; Volume 67, Number 367.