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arXiv · 0806.4822

The Adapted Ordering Method for the Representation Theory of Lie Algebras and Superalgebras and their Generalizations

Beatriz Gato-Rivera
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Abstract

In 1998 the Adapted Ordering Method was developed for the study of the representation theory of the superconformal algebras in two dimensions. It allows: to determine the maximal dimension 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 talk I introduce the present version of the Adapted Ordering Method, published in J. Phys. A: Math. Theor. 41 (2008) 045201, which can be applied to general Lie algebras and superalgebras and their generalizations, provided they can be triangulated.

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Beatriz Gato-Rivera. 2008-06-30. The Adapted Ordering Method for the Representation Theory of Lie Algebras and Superalgebras and their Generalizations. https://arxiv.org/abs/0806.4822

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