Differential operators and highest weight representations

by Davidson, Mark G.

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Title Statements

Full title :Differential operators and highest weight representations / Mark G. Davidson, Thomas J. Enright, Ronald J. Stanke.

Edition Statements

Publication Date:©1991

Publication Statements

Publisher(s):American mathematical Society
Place of Publication:Providence, Rhode Island
Language:eng
Publication Date:©1991

Notes

"November 1991, Volume 94, Number 455 (first of 4 numbers)."

The Physical Object

Description:1 online resource (111 pages) : : illustrations

Edition Identifiers

ISBN:9781470408817, 1470408813
oclc:ocn891383711
LC Classification:QA387
Dewey Decimal:512/.55

""Table of Contents""; ""Â0 Introduction and Summary of Results""; ""Â1 Vector Bundles and Algebraic Conventions""; ""Â2 Conjugate Pairings and Reproducing Kernels""; ""Â3 kâ€?Irreducibility of the System of Differential Operators""; ""Â4 p+â€?Cohomology for the Exceptional Groups""; ""Â5 Notational Conventions and a Lemma""; ""Â6 The Cone Decomposition""; ""Â7 The Oscillator Representation, Harmonic Polynomials and Associated Affine Varieties""; ""Â8 Young Products and a Refinement of the Factorization Theorem""; ""Â9 The Fundamental System of Differential Operators""

""Â10 Explicit Forms of the Systems of Differential Operators for the Classical Groups""""Â11 The Ladder Representation Examples""; ""Â12 KC-Orbits in p+ and the Wallach Representations""; ""Notational Index""; ""Bibliography""

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