Symmetry in Nonlinear Mathematical Physics - 2009
Beatriz Gato-Rivera (Instituto de Fisica Fundamental, CSIC, Madrid, Spain)
The adapted ordering method for representation theory
I will introduce the Adapted Ordering Method for Lie algebras and superalgebras, and their generalizations, provided they
can be triangulated. This method allows to determine maximal dimensions for a given type of space of singular vectors and to identify
all singular vectors by only a few coefficients. As a result, it also facilitates to spot subsingular vectors and to set the basis for
constructing embedding diagrams.