Math 6500 -- Lie groups Spring 2012 We'll be following some of these and these ancient notes. HW#1: Compute the character table of S_5. And of GxH. Show abelian groups have only 1-dim irreps. Show ker(chi) is a normal subgroup, and every normal subgroup arises as the intersection of such, where chi varies over irreducible characters. Next stops: representations of tori, then of U(n).