Differential Geometry Working Seminar

Benoit Charbonneau, Department of Pure Mathematics, University of Waterloo

“Coxeter groups and Clifford Algebras”

If one wants to understand representation theory of the rotation group of the icosahedron, or of its lift to Sp(1), it is extremely useful to be able to compute things intelligently. It turns out that instead of using matrices, it is much better to play with Clifford Algebras. I’ll explain those concepts and illustrate them.