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

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dc.creatorGato-Rivera, Beatriz
dc.date2008-06-30
dc.date.accessioned2026-07-07T09:52:46Z
dc.date.available2026-07-07T09:52:46Z
dc.descriptionIn 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.
dc.descriptionInvited talk at The 17th Colloquium "Integrable Systems and Quantum Symmetries", Prague, June 19-21, 2008. Very pedagogical. Six pages
dc.identifierhttps://arxiv.org/abs/0806.4822
dc.identifierhttp://arxiv.org/abs/0806.4822
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/165715
dc.subjectHigh Energy Physics - Theory
dc.subjectRings and Algebras
dc.subjectRepresentation Theory
dc.titleThe Adapted Ordering Method for the Representation Theory of Lie Algebras and Superalgebras and their Generalizations
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