Algebras and Representation Theory

, Volume 14, Issue 1, pp 161–190 | Cite as

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



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.


Nilpotent orbits DeBacker parametrization Algebraic groups Bruhat-Tits building 

Mathematics Subject Classification 2000

20G25 (17B45) 


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© Springer Science+Business Media B.V. 2009

Authors and Affiliations

  1. 1.Department of Mathematics and StatisticsUniversity of OttawaOttawaCanada

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