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Differential Operators and Highest Weight Representations
| eBook ISBN: | 978-1-4704-0881-7 |
| Product Code: | MEMO/94/455.E |
| List Price: | $25.00 |
| MAA Member Price: | $22.50 |
| AMS Member Price: | $15.00 |
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Differential Operators and Highest Weight Representations
| eBook ISBN: | 978-1-4704-0881-7 |
| Product Code: | MEMO/94/455.E |
| List Price: | $25.00 |
| MAA Member Price: | $22.50 |
| AMS Member Price: | $15.00 |
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Book DetailsMemoirs of the American Mathematical SocietyVolume: 94; 1991; 102 ppMSC: Primary 22; Secondary 20; 32
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Table of Contents
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Chapters
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0. Introduction and summary of results
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1. Vector bundles and algebraic conventions
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2. Conjugate pairings and reproducing kernels
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3. $\mathfrak {k}$-irreducibility of the system of differential operators
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4. $\mathfrak {p}_+$-cohomology for the exceptional groups
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5. Notational conventions and a lemma
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6. The cone decomposition
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7. The oscillator representation, harmonic polynomials and associated affine varieties
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8. Young products and a refinement of the factorization theorem
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9. The fundamental system of differential operators
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10. Explicit forms of the systems of differential operators for the classical groups
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11. The ladder representation examples
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12. $K_{\mathbb {C}}$-orbits in $\mathfrak {p}_+$ and the Wallach representations
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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
Volume: 94; 1991; 102 pp
MSC: Primary 22; Secondary 20; 32
-
Chapters
-
0. Introduction and summary of results
-
1. Vector bundles and algebraic conventions
-
2. Conjugate pairings and reproducing kernels
-
3. $\mathfrak {k}$-irreducibility of the system of differential operators
-
4. $\mathfrak {p}_+$-cohomology for the exceptional groups
-
5. Notational conventions and a lemma
-
6. The cone decomposition
-
7. The oscillator representation, harmonic polynomials and associated affine varieties
-
8. Young products and a refinement of the factorization theorem
-
9. The fundamental system of differential operators
-
10. Explicit forms of the systems of differential operators for the classical groups
-
11. The ladder representation examples
-
12. $K_{\mathbb {C}}$-orbits in $\mathfrak {p}_+$ and the Wallach representations
Review Copy – for publishers of book reviews
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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