  In 1998 the Adapted Ordering Method was developed for the representation
theory of the superconformal algebras. This method, which proves to be very
powerful, can be applied to most algebras and superalgebras, however. It
allows: to determine maximal dimensions for a given type of singular vector
space, to identify all singular vectors by only a few coefficients, to spot
subsingular vectors and to set the basis for constructing embedding diagrams.
In this article we present the Adapted Ordering Method for general algebras and
superalgebras which admit a triangulation and review briefly the results
obtained for the Virasoro algebra and for the N=2 and Ramond N=1 superconformal
algebras.
