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

Published Providence, Rhode Island, USA : American Mathematical Society, 1987

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Description 1 online resource (iv, 94 pages) : illustrations Series Memoirs of the American Mathematical Society, 1947-6221 ; v. 367 Memoirs of the American Mathematical Society ; no. 367. 0065-9266 Contents 1. Introduction and summary of results Part I 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 $U(\underline {u}̂- )$-free self-dual $\underline {g}$-modules Notes "May 1987, vol. 67, no. 367 (end of volume)." Bibliography Includes bibliographical references (pages 91-94) Notes Print version record Subject Modular representations of groups. Semisimple Lie groups. Verma modules. Kazhdan-Lusztig polynomials. MATHEMATICS -- Essays. MATHEMATICS -- Pre-Calculus. MATHEMATICS -- Reference. Kazhdan-Lusztig polynomials Modular representations of groups Semisimple Lie groups Verma modules Form Electronic book Author Shelton, Brad, 1958- ISBN 9781470407834 1470407833

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