Title of the course: Reflection groups
Instructor: Assoc. Prof. Şükrü Yalçınkaya
Institution: İstanbul Ü.
Dates: 17-30 July 2017
Prerequisites: Linear algebra, elementary group theory.
Level: Graduate, advanced undergraduate
Abstract: The course is focused on the group of isometries of Euclidean spaces and its
subgroups generated by reflections (reflection group). We start with the symmetries of
n-dimensional Euclidean spaces and symmetries of some regular polytopes in the first week.
Then, we cover the introductory topics in the general theory of finite reflection groups: root systems,
action of a reflection group on its root system, generators and relations, Coxeter graphs and the
classification of the finite reflection groups.
Textbook or/and course webpage: James Humphreys, Reflection groups & Coxeter Groups
Language: EN, TR