UM Math Graduate Student Seminar

Hsin-Chieh Liao
University of Miami 

will present

Classification of Finite Reflection Groups I

Friday, September 17, 2021, 5:00pm
Ungar Building Room 402


Abstract:

Finite reflection groups can be classified using Coxeter diagrams, and it is known that many different algebraic and geometric structures have similar classifications. In these two talks, we will give the audience an idea of how the classification of finite reflection groups is done. In the first talk, we will introduce some basic facts about reflection groups, root systems, Coxeter groups. We will see how finite reflection groups are linked to Coxeter systems.

 


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