Davidson, Mark G. <br/><br/>
Differential Operators and Highest Weight Representations. 

 - 1st ed. 
 - 1 online resource (111 pages) 
 - Memoirs of the American Mathematical Society ;  v.94 .
 - Memoirs of the American Mathematical Society .
<br/><br/>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. 
<br/><br/><label>ISBN: </label>9781470408817 
<br/><br/><label>Subjects--Topical Terms: </label><br/>Semisimple Lie groups.<br/>Representations of groups.<br/>Differential operators.
<br/><br/><label>Index Terms--Genre/Form: </label><br/>Electronic books.
<br/><br/><label>LC Class. No.: </label>QA387 -- .D385 1991eb 
<br/><br/><label>Dewey Class. No.: </label>512/.55