Coxeter Groups

What it is about

You learn the definition and fundamental properties of Coxeter groups as well as central theorems and methods of the theory. In the second, shorter part you apply the theory to a concrete topic (e.g. finite reflection groups, Iwahori–Hecke algebras and knot theory, root systems and Lie theory, or computations for Coxeter groups). At the end you can explain the terms, apply the theorems to examples and work on new examples.

What you will be able to do

• Know the concepts and basics of Coxeter groups
• Reproduce and explain important theorems of the theory
• Apply theoretical methods to concrete examples
• Understand and apply the applied direction (e.g. reflection groups or Hecke algebras)

What the module consists of

• SelbststudiumStudents work selected text sections as a basis
• wöchentliches Frage- und Diskussionsseminar (Zoom)Clarification of questions, background information and additional examples

Teaching method

• Self-study based on selected literatureDevelops the foundations and proofs independently
• Weekly Zoom discussion groupDiscussion of open questions, classification and deepening as well as examples