On Rational Nilpotent Orbits of SL_n and Sp_2n over a Local Non-Archimedean Field

2007/08/10 by Monica Nevins, Nevins, Monica
Mathematics · #17B45 #20G25 #Advanced Algebra and Geometry #FOS: Mathematics #Finite Group Theory Research #Representation Theory (math.RT) #advanced mathematical theories

paper · pdf · doi:10.48550/arxiv.0708.1363

openalex publication_date 2007/08/10 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

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.

Citations

• Nilpotent orbits over ground fields of good characteristic

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