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.

About this result
This page is automatically generated and may contain information that is not correct, complete, up-to-date, or relevant to your search query. The same applies to every other page on this website. Please make sure to verify the information with EPFL's official sources.

Graph Chatbot

Chat with Graph Search

Ask any question about EPFL courses, lectures, exercises, research, news, etc. or try the example questions below.

DISCLAIMER: The Graph Chatbot is not programmed to provide explicit or categorical answers to your questions. Rather, it transforms your questions into API requests that are distributed across the various IT services officially administered by EPFL. Its purpose is solely to collect and recommend relevant references to content that you can explore to help you answer your questions.