Skip to Main Content


AMS eBook CollectionsOne of the world's most respected mathematical collections, available in digital format for your library or institution


Rings of differential operators on classical rings of invariants

About this Title

T. Levasseur and J. T. Stafford

Publication: Memoirs of the American Mathematical Society
Publication Year: 1989; Volume 81, Number 412
ISBNs: 978-0-8218-2475-7 (print); 978-1-4704-0835-0 (online)
DOI: https://doi.org/10.1090/memo/0412
MathSciNet review: 988083
MSC: Primary 17B35; Secondary 14L30, 32C38

PDF View full volume as PDF

View other years and numbers:

Table of Contents

Chapters

  • Introduction
  • I. Reductive dual pairs and the Howe correspondence
  • II. Classical reductive dual pairs: explicit calculations
  • III. Differential operators on classical rings of invariants
  • IV. The maximality of $J(k)$ and the simplicity of $\mathcal {D}(\bar {\mathcal {X}}_k)$
  • V. Differential operators on the ring of $\mathrm {SO}(k)$-invariants
  • Appendix. Gabber’s lemma