CR manifolds of infinite Bloom-Graham type

We will provide a criterion for finite dimensionality of Lie algebra of infinitesimal holomorphic automorphisms in the case of real analytic manifolds of uniformly infinite Bloom-Graham type (i.e., infinite everywhere). This criterion was obtained with the help of an analogue of the Bloom-Graham theorem for germs of real analytic manifolds of infinite type and the description of a standard form (reduced form), in which it is possible to transform such germs. This form also enables us to construct a system of new biholomorphic invariants.