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

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作者
Monica Nevins
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[1] University of Ottawa,Department of Mathematics and Statistics
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Nilpotent orbits; DeBacker parametrization; Algebraic groups; Bruhat-Tits building; 20G25 (17B45);
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摘要
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.
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页码:161 / 190
页数:29
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