An error was encountered while trying to add the item to the cart. Please try again.
The following link can be shared to navigate to this page. You can select the link to copy or click the 'Copy To Clipboard' button below.
Copy To Clipboard
Successfully Copied!
Differential Operators and Highest Weight Representations

Available Formats:
Electronic ISBN: 978-1-4704-0881-7
Product Code: MEMO/94/455.E
102 pp
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 102 pp  List Price:$25.00 MAA Member Price: $22.50 AMS Member Price:$15.00
• Book Details

Memoirs of the American Mathematical Society
Volume: 941991
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
• Request Review Copy
• Get Permissions
Volume: 941991
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
Please select which format for which you are requesting permissions.