Discrete complex reflection groups

TL;DR

This paper presents a detailed classification of discrete groups generated by complex reflections in Hermitian affine spaces, based on lecture notes from 1980, providing foundational insights into complex reflection groups.

Contribution

It offers a comprehensive classification of discrete complex reflection groups, compiling and editing lecture notes that serve as a foundational reference in the field.

Findings

Classification of discrete complex reflection groups completed

Provides a systematic framework for understanding complex reflection groups

Serves as a foundational reference for future research

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.