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arXiv · 1506.02317

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

Konstantin Ardakov·Christian Johansson
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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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BibTeXRIS

Konstantin Ardakov, Christian Johansson. 2015-06-07. A canonical dimension estimate for non-split semisimple p-adic Lie groups. https://arxiv.org/abs/1506.02317

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