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Products of reflections in $U(p,q)$

About this Title

Dragomir Ž. Djoković and Jerry G. Malzan

Publication: Memoirs of the American Mathematical Society
Publication Year: 1982; Volume 37, Number 259
ISBNs: 978-0-8218-2259-3 (print); 978-1-4704-0666-0 (online)
DOI: https://doi.org/10.1090/memo/0259
MathSciNet review: 652861
MSC: Primary 20G20; Secondary 20F05

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Table of Contents

Chapters

  • 1. Types and conjugacy classes
  • 2. Matrix representation of types
  • 3. Positive reflections
  • 4. Basic equation
  • 5. Contributions of indecomposable types
  • 6. The invariant
  • 7. Lemmas $\Delta \to \Delta ’$
  • 8. Loxodromic types
  • 9. Pseudo-loxodromic types
  • 10. Classification of types
  • 11. Types of the first kind
  • 12. Types of the second kind
  • 13. The main theorem
  • 14. Lengths using both types of reflections