Logo
ScienceStack
Table of Contents
Fetching ...
Sign In

Discrete complex reflection groups

Vladimir L. Popov

Abstract

Here are reproduced slightly edited notes of my lectures on the classification of discrete groups generated by complex reflections of Hermitian affine spaces delivered in October of 1980 at the University of Utrecht.

Discrete complex reflection groups

Abstract

Here are reproduced slightly edited notes of my lectures on the classification of discrete groups generated by complex reflections of Hermitian affine spaces delivered in October of 1980 at the University of Utrecht.
Paper Structure (29 sections, 81 equations, 5 figures)

This paper contains 29 sections, 81 equations, 5 figures.

Table of Contents

  1. Notation and formulation of the problem
  2. Notation
  3. Motions and reflections
  4. Proposition
  5. Main problem
  6. Irreducibility
  7. Theorem
  8. What is already known: the case ${\bf k}={\bf R}$
  9. Theorem (Linear parts of infinite real irreducible r-groups)
  10. What is already known: the case ${\bf k}={\bf C}$
  11. Proposition (Isometric systems of lines)
  12. Theorem (Classification of finite complex irreducible r-groups)
  13. Remark
  14. Examples
  15. Exercise
  16. ...and 14 more sections

Figures (5)

  • Figure :
  • Figure :
  • Figure :
  • Figure :
  • Figure :

Theorems & Definitions (2)

  • proof
  • proof