ad-Nilpotent ideals of a Borel subalgebra II

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We provide an explicit bijection between the ad-nilpotent ideals of a Borel subalgebra of a simple Lie algebra g and the orbits of \check{Q}/(h+1)\check{Q} under the Weyl group (\check{Q} being the coroot lattice and h the Coxeter number of g). From this result we deduce in a uniform way a counting formula for the ad-nilpotent ideals.
AMS-TeX file, 9 pages; revised version. To appear in Journal of Algebra

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Representation Theory, 17B20 (Primary); 20F55 (Secondary)

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http://salesiana.dossiersoluciones.com/handle/123456789/171147

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0106057
 http://arxiv.org/abs/math/0106057
 J. Algebra 258 (2002), no. 1, 112--121.

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arXiv