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Differential Operators and Highest Weight Representations
 
Front Cover for 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
Front Cover for Differential Operators and Highest Weight Representations
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  • Front Cover for Differential Operators and Highest Weight Representations
  • Back Cover for Differential Operators and Highest Weight Representations
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;
  • Table of Contents
     
     
    • 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
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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
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