Answer to Question #18566 in Algebra for Irvin

Question

Let G be the dihedral group of order 2n generated by two elements r, s with relations rn = 1, s2 = 1 and srs^−1 = r^−1. Let θ = 2π/n. Show that, over C, Dh is equivalent to the representation D'h defined by
D'h (r) =
e^−ihθ 0
0 e^ihθ
D'h(s) =
0 1
1 0.