CU Algebraic Lie Theory Seminar

CU Algebraic Lie Theory Seminar

Coxeter groups and regular polytopes

Richard Green, CU

February 3, 2009
2-3pm
Math 220

Abstract

Regular polytopes are the n-dimensional analogs of the Platonic solids. In this talk, I will sketch how the theory of Coxeter groups can be used to classify the regular polytopes. The classification includes higher dimensional analogs of the tetrahedron, the cube and the octahedron, and several exceptional cases.