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arXiv:0708.1363 [math.RT]AbstractReferencesReviewsResources

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

Monica Nevins

Published 2007-08-10, updated 2008-01-15Version 2

We 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.

Comments: v2, 27 pages. Reduced to single-spacing (from double-spaced first version of 35 pages); typos corrected in Section 2; Corollary 4.5 strengthened
Categories: math.RT
Subjects: 20G25, 17B45
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