LEADER 02799nam 2200601 450 001 9910829049403321 005 20170918220255.0 010 $a1-4704-0881-3 035 $a(CKB)3360000000464639 035 $a(EBL)3113741 035 $a(SSID)ssj0000888886 035 $a(PQKBManifestationID)11455672 035 $a(PQKBTitleCode)TC0000888886 035 $a(PQKBWorkID)10864965 035 $a(PQKB)11743899 035 $a(MiAaPQ)EBC3113741 035 $a(RPAM)1543222 035 $a(PPN)195413385 035 $a(EXLCZ)993360000000464639 100 $a20140908h19911991 uy 0 101 0 $aeng 135 $aur|n|---||||| 181 $ctxt 182 $cc 183 $acr 200 10$aDifferential operators and highest weight representations /$fMark G. Davidson, Thomas J. Enright, Ronald J. Stanke 210 1$aProvidence, Rhode Island :$cAmerican Mathematical Society,$d1991. 210 4$dİ1991 215 $a1 online resource (111 p.) 225 1 $aMemoirs of the American Mathematical Society,$x0065-9266 ;$vVolume 94, Number 455 300 $a"November 1991, Volume 94, Number 455 (first of 4 numbers)." 311 $a0-8218-2509-7 320 $aIncludes bibliographical references and index. 327 $a""Table of Contents""; ""A?0 Introduction and Summary of Results""; ""A?1 Vector Bundles and Algebraic Conventions""; ""A?2 Conjugate Pairings and Reproducing Kernels""; ""A?3 ka???Irreducibility of the System of Differential Operators""; ""A?4 p+a???Cohomology for the Exceptional Groups""; ""A?5 Notational Conventions and a Lemma""; ""A?6 The Cone Decomposition""; ""A?7 The Oscillator Representation, Harmonic Polynomials and Associated Affine Varieties""; ""A?8 Young Products and a Refinement of the Factorization Theorem""; ""A?9 The Fundamental System of Differential Operators"" 327 $a""A?10 Explicit Forms of the Systems of Differential Operators for the Classical Groups""""A?11 The Ladder Representation Examples""; ""A?12 KC-Orbits in p+ and the Wallach Representations""; ""Notational Index""; ""Bibliography"" 410 0$aMemoirs of the American Mathematical Society ;$vVolume 94, Number 455. 606 $aSemisimple Lie groups 606 $aRepresentations of groups 606 $aDifferential operators 615 0$aSemisimple Lie groups. 615 0$aRepresentations of groups. 615 0$aDifferential operators. 676 $a512/.55 700 $aDavidson$b Mark G.$f1955-$01594170 702 $aEnright$b Thomas J. 702 $aStanke$b Ronald J.$f1954- 801 0$bMiAaPQ 801 1$bMiAaPQ 801 2$bMiAaPQ 906 $aBOOK 912 $a9910829049403321 996 $aDifferential operators and highest weight representations$93914634 997 $aUNINA