dihedral-representation-is-irreducible.tex

$Two axis labeled "x" and "y" span the Cartesian plane. A curvy arrow labeled "sigma" joins a point "v" and a point labeled "sigma times v".$

An illustration of the proof that the natural representation of the Dihedral group is irreducible: the rotational generator of the Dihedral group rotates any vector v by 60° and hence cannot preserve a line through the origin