02799nam 2200601 450 991082904940332120170918220255.01-4704-0881-3(CKB)3360000000464639(EBL)3113741(SSID)ssj0000888886(PQKBManifestationID)11455672(PQKBTitleCode)TC0000888886(PQKBWorkID)10864965(PQKB)11743899(MiAaPQ)EBC3113741(RPAM)1543222(PPN)195413385(EXLCZ)99336000000046463920140908h19911991 uy 0engur|n|---|||||txtccrDifferential operators and highest weight representations /Mark G. Davidson, Thomas J. Enright, Ronald J. StankeProvidence, Rhode Island :American Mathematical Society,1991.©19911 online resource (111 p.)Memoirs of the American Mathematical Society,0065-9266 ;Volume 94, Number 455"November 1991, Volume 94, Number 455 (first of 4 numbers)."0-8218-2509-7 Includes bibliographical references and index.""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""Memoirs of the American Mathematical Society ;Volume 94, Number 455.Semisimple Lie groupsRepresentations of groupsDifferential operatorsSemisimple Lie groups.Representations of groups.Differential operators.512/.55Davidson Mark G.1955-1594170Enright Thomas J.Stanke Ronald J.1954-MiAaPQMiAaPQMiAaPQBOOK9910829049403321Differential operators and highest weight representations3914634UNINA