On Rational Nilpotent Orbits of $SL_{n}$ and $Sp_{2n}$ over a Local Non-Archimedean Field

Details On Rational Nilpotent Orbits of $SL_{n}$ and $Sp_{2n}$ over a Local Non-Archimedean Field On Rational Nilpotent Orbits of $SL_{n}$ and $Sp_{2n}$ over a Local Non-Archimedean Field

2007-08-10

arxiv.org/abs/0708.1363v2

Mathematics

Representation Theory

v2, 27 pages. Reduced to single-spacing (from double-spaced first version of 35 pages); typos corrected in Section 2; Corollar

Scientific paper

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.

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