Local Systems on Nilpotent Orbits and Weighted Dynkin Diagrams

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dc.creatorAchar, Pramod
dc.creatorSommers, Eric
dc.date2002-01-25
dc.date.accessioned2026-07-07T04:46:07Z
dc.date.available2026-07-07T04:46:07Z
dc.descriptionWe study the Lusztig-Vogan bijection for the case of a local system. We compute the bijection explicitly in type A for a local system and then show that the dominant weights obtained for different local systems on the same orbit are related in a manner made precise in the paper. We also give a conjecture (putatively valid for all groups) detailing how the weighted Dynkin diagram for a nilpotent orbit in the dual Lie algebra should arise under the bijection.
dc.description11 pages
dc.identifierhttps://arxiv.org/abs/math/0201248
dc.identifierhttp://arxiv.org/abs/math/0201248
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/63203
dc.subjectRepresentation Theory
dc.titleLocal Systems on Nilpotent Orbits and Weighted Dynkin Diagrams
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