, Volume 14, Issue 1, pp 161-190
Date: 05 Dec 2009

On Nilpotent Orbits of SL n and Sp2n over a Local Non-Archimedean Field

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We relate the partition-type parametrization of rational (arithmetic) nilpotent adjoint orbits of the classical groups SL n and Sp2n 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.