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Completely prime maximal ideals and quantization

About this Title

William M. McGovern

Publication: Memoirs of the American Mathematical Society
Publication Year: 1994; Volume 108, Number 519
ISBNs: 978-0-8218-2580-8 (print); 978-1-4704-0096-5 (online)
DOI: https://doi.org/10.1090/memo/0519
MathSciNet review: 1191608
MSC: Primary 17B35; Secondary 22E60

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Table of Contents

Chapters

  • 1. Introduction
  • 2. Preliminaries on nilpotent orbits and their covers
  • 3. Induced Dixmier algebras and orbit data
  • 4. Construction and basic properties of the algebras
  • 5. Associated varieties and characteristic cycles
  • 6. Goldie ranks
  • 7. Applications to the quantization program
  • 8. Exhaustion of the completely prime maximal spectrum
  • 9. Examples