Constructing Graded Lie Algebras

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The Z-grading determined by a long simple root of an affine or finite type Lie algebra arises from an adjoint or cominuscule representation of a lower rank semi-simple complex Lie algebra. Analysis of the relationship between the grading and the representation leads to an extension of Kac's construction of nontwisted affine Lie algebras.
44 pages, 2 figures

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Representation Theory, Rings and Algebras, 17B10; 17B67; 17B70

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http://salesiana.dossiersoluciones.com/handle/123456789/73531

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412179
 http://arxiv.org/abs/math/0412179

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arXiv