A characterization of Dynkin elements

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We give a characterization of the Dynkin elements of a simple Lie algebra. Namely, we prove that one-half of a Dynkin element is the unique point of minimal length in its N-region. In type A_n this translates into a statement about the regions determined by the canonical left Kazhdan-Lusztig cells. Some possible generalizations are explored in the last section.
9 pages

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Representation Theory, Group Theory, 17B10, 17B35, 20F55

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http://salesiana.dossiersoluciones.com/handle/123456789/65903

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0212089
 http://arxiv.org/abs/math/0212089

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arXiv