ad-Nilpotent ideals of a Borel subalgebra II

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dc.creatorCellini, Paola
dc.creatorPapi, Paolo
dc.date2001-06-08
dc.date2001-12-17
dc.date.accessioned2026-07-07T10:08:52Z
dc.date.available2026-07-07T10:08:52Z
dc.descriptionWe 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.
dc.descriptionAMS-TeX file, 9 pages; revised version. To appear in Journal of Algebra
dc.identifierhttps://arxiv.org/abs/math/0106057
dc.identifierhttp://arxiv.org/abs/math/0106057
dc.identifierJ. Algebra 258 (2002), no. 1, 112--121.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/171147
dc.subjectRepresentation Theory
dc.subject17B20 (Primary); 20F55 (Secondary)
dc.titlead-Nilpotent ideals of a Borel subalgebra II
dc.typetext

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