Math 6500 -- Lie groups

Spring 2012

We'll be following some of these and these ancient notes.


  • 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).