The Adapted Ordering Method in Representation Theory
نویسنده
چکیده
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. We present this method for general algebras and superalgebras and review the results obtained for the Virasoro algebra and for the N = 2 superconformal algebras.
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