  We present a relationship between the Calogero-Moser particles confined in
harmonic oscillator potentials and a representation theory of the infinite
dimensional Lie algebra which is a semi-direct sum of Virasoro algebra and its
module. More precisely, it is a correspondence of excited states of the model
and singular vectors in Verma modules over the algebra. This is found by a free
field realization of the time evolution operator of the model. We investigate
the Verma modules and some explicit example of singular vectors are given.
