On Nilpotent Orbits of SLn 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 SLn 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.
KeywordsNilpotent orbits DeBacker parametrization Algebraic groups Bruhat-Tits building
Mathematics Subject Classification 200020G25 (17B45)
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