  Let $V_n=<e_1,...,e_{n+1}>$ be a vector products n-Lie algebra with n-Lie
commutator $[e_1,...,\hat{e_i},...,e_{n+1}]=(-1)^ie_i$ over the field of
complex numbers. Any finite-dimensional n-Lie $V_n$-module is completely
reducible. Any finite-dimensional irreducible n-Lie $V_n$-module is isomorphic
to a n-Lie extension of $so_{n+1}$-module with highest weight $t\pi_1$ for some
nonnegative integer t.
