The Adapted Ordering Method for Lie Algebras and Superalgebras and their Generalizations

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dc.creatorGato-Rivera, Beatriz
dc.date2007-06-19
dc.date2007-12-15
dc.date.accessioned2026-07-07T11:57:00Z
dc.date.available2026-07-07T11:57:00Z
dc.descriptionIn 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.
dc.descriptionMany improvements in the redaction for pedagogical purposes. Latex, 11 pages
dc.identifierhttps://arxiv.org/abs/0706.2859
dc.identifierhttp://arxiv.org/abs/0706.2859
dc.identifierJ.Phys.A41:045201,2008
dc.identifierdoi:10.1088/1751-8113/41/4/045201
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/205732
dc.subjectHigh Energy Physics - Theory
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.titleThe Adapted Ordering Method for Lie Algebras and Superalgebras and their Generalizations
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