The Adapted Ordering Method for Lie Algebras and Superalgebras and their Generalizations
High Energy Physics - Theory
2008-11-26 v3 Rings and Algebras
Representation Theory
Abstract
In 1998 the Adapted Ordering Method was developed for the representation theory of the superconformal algebras in two dimensions. It allows: to determine maximal dimensions for a given type of space of singular vectors, 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 Lie algebras and superalgebras, and their generalizations, provided they can be triangulated. We also review briefly the results obtained for the Virasoro algebra and for the N=2 and Ramond N=1 superconformal algebras.
Keywords
Cite
@article{arxiv.0706.2859,
title = {The Adapted Ordering Method for Lie Algebras and Superalgebras and their Generalizations},
author = {Beatriz Gato-Rivera},
journal= {arXiv preprint arXiv:0706.2859},
year = {2008}
}
Comments
Many improvements in the redaction for pedagogical purposes. Latex, 11 pages