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

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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.

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  1. Department of Mathematics and Statistics, University of Ottawa, Ottawa, Ontario, K1N 6N5, Canada

    Monica Nevins

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  1. Monica Nevins
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Correspondence to Monica Nevins.

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Nevins, M. On Nilpotent Orbits of SL n and Sp2n over a Local Non-Archimedean Field. Algebr Represent Theor 14, 161–190 (2011). https://doi.org/10.1007/s10468-009-9182-1

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