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Title

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

AuthorsGato Rivera, Beatriz
KeywordsHigh Energy Physics - Theory
Rings and Algebras
Representation Theory
Issue Date30-Jun-2008
PublisherKluwer Academic/Plenum Publishers
CitationXVIII International Colloquium on Integrable Systems and Quantum symmetries (ISQS-18)
SeriesIFF-FM-08-01
AbstractIn 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.
Description6 pages.-- Invited talk at The 17th Colloquium "Integrable Systems and Quantum Symmetries", Prague, June 19-21, 2008. Very pedagogical.
Publisher version (URL)http://www.km.fjfi.cvut.cz/intsystems/
URIhttp://hdl.handle.net/10261/14226
Appears in Collections:(CFMAC-IFF) Comunicaciones congresos
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