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In this paper, motivated by the work of Kim and Kolar for the case ofpseudoconvex models which are sums of squares of polynomials, we study the Liealgebra of real-analytic infinitesimal $CR$ automorphisms of a modelhypersurface $M_0$ given by \begin{equation}  M_0= \{(z,w) \in \mathbb C^{3} \times \mathbb C \ | \ \Im w= P\bar Q + Q\barP + R\bar R \}, \end{equation} where $P,$ $Q$ and $R$ are homogeneouspolynomials. In particular, we classify $M_0$ with respect to the descriptionof its nilpotent rotations when $P,$ $Q$ and $R$ are monomials. We also give anexample of a model $M_0$ for which the real dimension of its generalized(exotic) rotations is $3.$

Characterization of real-analytic infinitesimal CR automorphisms for a class of hypersurfaces in $\Bbb C^4.$