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).