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Differential Operators and Highest Weight Representations

Available Formats:
Electronic 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 Click above image for expanded view Differential Operators and Highest Weight Representations Available Formats:  Electronic 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
• Book Details

Memoirs of the American Mathematical Society
Volume: 941991; 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
• Requests

Review Copy – for reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
Volume: 941991; 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 reviewers who would like to review an AMS book
Permission – for use of book, eBook, or Journal content
Accessibility – to request an alternate format of an AMS title
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