Ad-nilpotent Ideals and Equivalence Relations

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dc.creatorFang, Chuying
dc.date2008-10-25
dc.date.accessioned2026-07-07T10:13:16Z
dc.date.available2026-07-07T10:13:16Z
dc.descriptionIn this paper we study ad-nilpotent ideals of a complex simple Lie algebra $\ccg$ and their connections with affine Weyl groups and nilpotent orbits. We define a left equivalence relation for ad-nilpotent ideals based on their normalizer and generators, and prove that the equivalence relation is compatible with the left cell structure of affine Weyl group of $\ccg$ and Lusztig's star operator for type $\tilde A_{n-1}$.
dc.identifierhttps://arxiv.org/abs/0810.4600
dc.identifierhttp://arxiv.org/abs/0810.4600
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/172468
dc.subjectRepresentation Theory
dc.subjectCombinatorics
dc.titleAd-nilpotent Ideals and Equivalence Relations
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