Coxeter groups and Lie algebras — WS 2020/21

Tuesday and Thursday, 14:15 – 15:45
HS II, Albertstr. 23b
Johan Commelin


Coxeter groups and Lie algebras are central notions in so-called Lie theory. They appear naturally in the study of representation theory of (certain) infinite groups, and have applications in various other fields of mathematics such as differential geometry, algebraic geometry and number theory. In this course we will learn about the basic properties of Coxeter groups and reflection groups, root systems, and Lie algebras. We will see how these concepts interact with each other, and finally learn about the marvellous classification in terms of Dynkin diagrams: a certain type of decorated graphs that naturally fall apart into four infinite lists and a handful of ``exceptional'' examples.