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).