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Differential Operators and Highest Weight Representations.

By: Contributor(s): Material type: TextTextSeries: Memoirs of the American Mathematical SocietyPublisher: Providence : American Mathematical Society, 1991Copyright date: ©1991Edition: 1st edDescription: 1 online resource (111 pages)Content type:
  • text
Media type:
  • computer
Carrier type:
  • online resource
ISBN:
  • 9781470408817
Subject(s): Genre/Form: Additional physical formats: Print version:: Differential Operators and Highest Weight RepresentationsDDC classification:
  • 512/.55
LOC classification:
  • QA387 -- .D385 1991eb
Online resources:
Contents:
Intro -- Table of Contents -- 0 Introduction and Summary of Results -- 1 Vector Bundles and Algebraic Conventions -- 2 Conjugate Pairings and Reproducing Kernels -- 3 k-Irreducibility of the System of Differential Operators -- 4 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 KC-Orbits in p+ and the Wallach Representations -- Notational Index -- Bibliography.
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Intro -- Table of Contents -- 0 Introduction and Summary of Results -- 1 Vector Bundles and Algebraic Conventions -- 2 Conjugate Pairings and Reproducing Kernels -- 3 k-Irreducibility of the System of Differential Operators -- 4 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 KC-Orbits in p+ and the Wallach Representations -- Notational Index -- Bibliography.

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Electronic reproduction. Ann Arbor, Michigan : ProQuest Ebook Central, 2024. Available via World Wide Web. Access may be limited to ProQuest Ebook Central affiliated libraries.

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