On Rational Nilpotent Orbits of $SL_{n}$ and $Sp_{2n}$ over a Local Non-Archimedean Field

dc.creatorNevins, Monica
dc.date2007-08-10
dc.date2008-01-15
dc.date.accessioned2026-07-07T08:54:07Z
dc.date.available2026-07-07T08:54:07Z
dc.descriptionWe relate the partition-type parametrization of rational (arithmetic) nilpotent adjoint orbits of the split classical groups $SL_n$ and $Sp_{2n}$ over local non-Archimedean fields with a parametrization, introduced by DeBacker in 2002, which uses the associated Bruhat-Tits building to relate the question to one over the residue field.
dc.descriptionv2, 27 pages. Reduced to single-spacing (from double-spaced first version of 35 pages); typos corrected in Section 2; Corollary 4.5 strengthened
dc.identifierhttps://arxiv.org/abs/0708.1363
dc.identifierhttp://arxiv.org/abs/0708.1363
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/145815
dc.subjectRepresentation Theory
dc.subject20G25, 17B45
dc.titleOn Rational Nilpotent Orbits of $SL_{n}$ and $Sp_{2n}$ over a Local Non-Archimedean Field
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