Article

Algebras and Representation Theory

, Volume 14, Issue 1, pp 161-190

First online:

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

  • Monica NevinsAffiliated withDepartment of Mathematics and Statistics, University of Ottawa Email author 

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Abstract

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.

Keywords

Nilpotent orbits DeBacker parametrization Algebraic groups Bruhat-Tits building

Mathematics Subject Classification 2000

20G25 (17B45)