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Título

The Adapted Ordering Method for Lie algebras and superalgebras and their generalizations

AutorGato Rivera, Beatriz
Palabras clave[PACS] General properties, structure, and representation of Lie groups
[pacs] Infinite-dimensional Lie groups
Fecha de publicación15-ene-2008
EditorInstitute of Physics Publishing
CitaciónJournal of Physics A: Mathematical and General 41(4): 045201 (2008)
SerieIMAFF-FM-07-01
NIKHEF/2007-13
ResumenIn 1998 the Adapted Ordering Method was developed for the representation theory of the superconformal algebras in two dimensions. It allows us 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 paper 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.
Descripción11 pages, 2 tables.-- PACS numbers: 02.20.Qs, 02.20.Tw.-- ArXiv pre-print available at: http://arxiv.org/abs/0706.2859
Versión del editorhttp://dx.doi.org/10.1088/1751-8113/41/4/045201
URIhttp://hdl.handle.net/10261/14229
DOI10.1088/1751-8113/41/4/045201
ISSN0305-4470
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