TY  - BOOK
AU  - Davidson,Mark G.
AU  - Enright,Thomas J.
AU  - Stanke,Ronald J.
TI  - Differential Operators and Highest Weight Representations
T2  - Memoirs of the American Mathematical Society
SN  - 9781470408817
AV  - QA387 -- .D385 1991eb 
U1  - 512/.55 
PY  - 1991///
CY  - Providence
PB  - American Mathematical Society
KW  - Semisimple Lie groups
KW  - Representations of groups
KW  - Differential operators
KW  - Electronic books
N1  - 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
UR  - https://ebookcentral.proquest.com/lib/orpp/detail.action?docID=3113741
ER  -