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

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Título:	The Adapted Ordering Method for the Representation Theory of Lie Algebras and Superalgebras and their Generalizations
Autor:	Gato Rivera, Beatriz CSIC ORCID
Palabras clave:	High Energy Physics - Theory Rings and Algebras Representation Theory
Fecha de publicación:	30-jun-2008
Editor:	Kluwer Academic/Plenum Publishers
Citación:	XVIII International Colloquium on Integrable Systems and Quantum symmetries (ISQS-18)
Serie:	IFF-FM-08-01
Resumen:	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.
Descripción:	6 pages.-- Invited talk at The 17th Colloquium "Integrable Systems and Quantum Symmetries", Prague, June 19-21, 2008. Very pedagogical.
Versión del editor:	http://www.km.fjfi.cvut.cz/intsystems/
URI:	http://hdl.handle.net/10261/14226
Aparece en las colecciones:	(CFMAC-IFF) Comunicaciones congresos