The Coxeter Classification 2/2: Who cares about Representation Theory?
A more elegant approach to Coxeter systems.
Video 1: • The Coxeter Classification 1/2: Combi...
00:00 Opening
01:49 Part 1: The geometry of reflections
05:38 Part 2: The general geometric representation
14:44 Part 3: When is a "reflection" actually a reflection?
26:17 Part 4: Completing the classification (again)
36:04 Conclusion, and connections to other things
The textbook mentioned in the video is Reflection Groups and Coxeter Groups by J. E. Humphreys. The book covers everything in a lot more detail, but the language used and the order in which things are proven is quite different.
Music is made by myself, except for the bit at 19:12 which is by Kevin MacLeod.