A canonical dimension estimate for non-split semisimple 𝑝-adic Lie groups

Ardakov, Konstantin; Johansson, Christian

doi:10.1090/ert/479

A canonical dimension estimate for non-split semisimple $p$-adic Lie groups
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by Konstantin Ardakov and Christian Johansson

Represent. Theory 20 (2016), 128-138

DOI: https://doi.org/10.1090/ert/479

Published electronically: February 18, 2016

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Abstract:

We prove that the canonical dimension of an admissible Banach space or a locally analytic representation of an arbitrary semisimple $p$-adic Lie group is either zero or at least half the dimension of a non-zero coadjoint orbit. This extends the results of Ardakov, Wadsley, and Schmidt in the split semisimple case.

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