Enright, Thomas J. <br/><br/>
Categories of Highest Weight Modules :  Applications to Classical Hermitian Symmetric Pairs. 

 - 1st ed. 
 - 1 online resource (102 pages) 
 - Memoirs of the American Mathematical Society ;  v.67 .
 - Memoirs of the American Mathematical Society .
<br/><br/>Intro -- 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. 
<br/><br/><label>ISBN: </label>9781470407834 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Modular representations of groups.<br/>Semisimple Lie groups.<br/>Verma modules.<br/>Kazhdan-Lusztig polynomials.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA3 -- .E575 1987eb 
<br/><br/><label>Dewey Class. No.: </label>512/.2