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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
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