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



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Autore: Enright Thomas J. Visualizza persona
Titolo: Categories of highest weight modules : applications to classical Hermitian symmetric pairs / / Thomas J. Enright and Brad Shelton Visualizza cluster
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
Soggetto genere / forma: Electronic books.
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(�)])-free self-dual g-modules""; ""Bibliography""
Titolo autorizzato: Categories of highest weight modules  Visualizza cluster
ISBN: 1-4704-0783-3
Formato: Materiale a stampa
Livello bibliografico Monografia
Lingua di pubblicazione: Inglese
Record Nr.: 9910480721903321
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Serie: Memoirs of the American Mathematical Society ; ; Volume 67, Number 367.