Unitary Representations of Lattices of Free Nilpotent Lie Groups of\n Step-Two

Using a theorem proved by Bekka and Driutti, we show that if $\\mathfrak{f}$\nis a freely generated nilpotent Lie algebra of step-two, then almost every\nirreducible representation of the corresponding Lie group restricted to some\nlattice $\\Gamma$ is an irreducible representation of $\\Gamma$ if the dimension\nof the Lie algebra is odd. However, if the dimension of the Lie algebra is\neven, then almost every unitary irreducible representation of the Lie group\nrestricted to $\\Gamma$ is reducible.\n