  An algorithm for embedding finite dimensional Lie algebras into Lie algebras
of vector fields (and Lie superalgebras into Lie superalgebras of vector
fields) is offered in a way applicable over ground fields of any
characteristic. The algorithm is illustrated by reproducing Cartan's
interpretations of the Lie algebra of G(2) as the Lie algebra that preserves
certain non-integrable distributions. Similar algorithm and interpretation are
applicable to other exceptional simple Lie algebras, as well as to all
non-exceptional simple ones and many non-simple ones, and to many Lie
superalgebras.
