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Categories of Highest Weight Modules: Applications to Classical Hermitian Symmetric Pairs
| eBook ISBN: | 978-1-4704-0783-4 |
| Product Code: | MEMO/67/367.E |
| List Price: | $23.00 |
| MAA Member Price: | $20.70 |
| AMS Member Price: | $13.80 |
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Categories of Highest Weight Modules: Applications to Classical Hermitian Symmetric Pairs
| eBook ISBN: | 978-1-4704-0783-4 |
| Product Code: | MEMO/67/367.E |
| List Price: | $23.00 |
| MAA Member Price: | $20.70 |
| AMS Member Price: | $13.80 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 67; 1987; 94 ppMSC: Primary 22; Secondary 17
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Table of Contents
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Chapters
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1. Introduction and summary of results
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Part I
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2. Notation
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3. Preliminary results
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4. Reduction of singularities
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5. The Zuckerman derived functors
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6. An equivalence of categories
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7. A second equivalence of categories
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Part II. Highest weight modules for Hermitian symmetric pairs
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8. Statement of the main results
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9. Additional notation and preliminary results
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10. Wall shifting
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11. Induction from lower rank
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12. Proof of Theorem 8.4
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13. Proof of Theorem 8.5
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14. Projective resolutions and Ext
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15. Kazhdan-Lusztig polynomials
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16. Decompositions of $U(\underline {u}^-)$-free self-dual $\underline {g}$-modules
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RequestsReview Copy – for publishers of book reviewsPermission – for use of book, eBook, or Journal contentAccessibility – to request an alternate format of an AMS title
- Book Details
- Table of Contents
- Requests
-
Chapters
-
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
Review Copy – for publishers of book reviews
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