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Record Nr. |
UNINA9910829049403321 |
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Autore |
Davidson Mark G. <1955-> |
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Titolo |
Differential operators and highest weight representations / / Mark G. Davidson, Thomas J. Enright, Ronald J. Stanke |
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Pubbl/distr/stampa |
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Providence, Rhode Island : , : American Mathematical Society, , 1991 |
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©1991 |
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ISBN |
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Descrizione fisica |
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1 online resource (111 p.) |
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Collana |
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Memoirs of the American Mathematical Society, , 0065-9266 ; ; Volume 94, Number 455 |
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Disciplina |
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Soggetti |
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Semisimple Lie groups |
Representations of groups |
Differential operators |
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Lingua di pubblicazione |
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Formato |
Materiale a stampa |
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Livello bibliografico |
Monografia |
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Note generali |
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"November 1991, Volume 94, Number 455 (first of 4 numbers)." |
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Nota di bibliografia |
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Includes bibliographical references and index. |
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Nota di contenuto |
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""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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