Dynkin Diagrams
Mostrando 1-3 de 3 artigos, teses e dissertações.
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1. Semi-simple Lie algebras / Álgebras de Lie semi-simples
A dissertação tem como tema as álgebras de Lie. Especificamente álgebras de Lie semi-simples e suas propriedades . Para encontramos essas propriedades estudamos os conceitos básicos da teoria das álgebras de Lie e suas representações. Então fizemos a classificação dessas álgebras por diagramas de Dynkin explicitando quais os possíveis diagramas
Publicado em: 2009
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2. Geometry and topology of isoparametric submanifolds in euclidean spaces
Restrictions are given on the possible marked Dynkin diagrams of isoparametric submanifolds, and their homology and cohomology are computed by an extension of the techniques used by Bott and Samelson [Bott, R. & Samelson, H. (1958) Am. J. Math. 80, 964-1029] and by Borel [Borel, A. (1953) Ann. Math. 57 (2), 115-207] for G/T.
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3. Spinor representations of affine Lie algebras
Let [unk] be an infinite-dimensional Kac-Moody Lie algebra of one of the types Dl+1(2), Bl(1), or Dl(1). These algebras are characterized by the property that an elimination of any endpoint of their Dynkin diagrams gives diagrams of types Bl or Dl of classical orthogonal Lie algebras. We construct two representations of a Lie algebra [unk], which we call spi