  We consider the energy representation for the gauge group. The gauge group is
the set of (C^{\infty})-mappings from a compact Riemannian manifold to a
semi-simple compact Lie group. In this paper, we obtain irreducibility of the
energy representation of the gauge group for any dimension of (M). To prove
irreducibility for the energy representation, we use the fact that each
operator from the space of test functionals to the space of generalized
functionals is realized as a series of integral kernel operators, called Fock
expansion.
