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Actions of linearly reductive groups on affine PI algebras

About this Title

Nikolaus Vonessen

Publication: Memoirs of the American Mathematical Society
Publication Year: 1989; Volume 81, Number 414
ISBNs: 978-0-8218-2477-1 (print); 978-1-4704-0837-4 (online)
DOI: https://doi.org/10.1090/memo/0414
MathSciNet review: 990363
MSC: Primary 16A38; Secondary 16A16, 16A33, 16A74, 20G99

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Table of Contents

Chapters

  • 0. Introduction
  • 1. Statements of results
  • 2. Preliminaries
  • 3. The trace ring
  • 4. Affine fixed rings
  • 5. Borho theory
  • 6. The correspondence $\Phi : \operatorname {Spec} R \multimap \operatorname {Spec} R^G$
  • 7. Lying over
  • 8. Characterizations of linearly reductive groups through actions on affine PI-algebras
  • 9. Actions by inner automorphisms