Lecture

Coxeter groups: Generators, Relations, and Word Length

Description

This lecture covers Coxeter's theorem on the presentation of a Coxeter group by generators and relations, discussing the length of a word in a Coxeter group through various examples. It delves into the maximal possible word length and the uniqueness of certain elements. The lecture also explores the concept of simple reflections and their role in Coxeter groups, providing proofs and examples to illustrate the theory.

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