Publications Meetings The Profession Membership Programs Math Samplings Policy & Advocacy In the News About the AMS
AMS Home | AMS Bookstore | Customer Services
Mobile Device Pairing

How to Order

For AMS eBook frontlist subscriptions or backfile collection purchases:

   1a. To purchase any ebook backfile or to subscibe to the current year of Contemporary Mathematics, please download this required license agreement,

   1b. To subscribe to the current year of Memoirs of the AMS, please download this required license agreement.

   2. Complete and sign the license agreement.

   3. Email, fax, or send via postal mail to:

Customer Services
American Mathematical Society
201 Charles Street Providence, RI 02904-2294  USA
Phone: 1-800-321-4AMS (4267)
Fax: 1-401-455-4046
Email: cust-serv@ams.org

Visit the AMS Bookstore for individual volume purchases.
 

Powered by MathJax

Differential operators and highest weight representations


About this Title

Mark G. Davidson, Thomas J. Enright and Ronald J. Stanke

Publication: Memoirs of the American Mathematical Society
Publication Year 1991: Volume 94, Number 455
ISBNs: 978-0-8218-2509-9 (print); 978-1-4704-0881-7 (online)
DOI: http://dx.doi.org/10.1090/memo/0455
MathSciNet review: 1081660
MSC (1991): Primary 22E47

View full volume PDF

View other years and numbers:

Table of Contents


Chapters

  • 0. Introduction and summary of results
  • 1. Vector bundles and algebraic conventions
  • 2. Conjugate pairings and reproducing kernels
  • 3. -irreducibility of the system of differential operators
  • 4. -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. -orbits in and the Wallach representations