A canonical dimension estimate for non-split semisimple p-adic Lie groups
Representation Theory
2015-06-09 v1 Number Theory
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.
Keywords
Cite
@article{arxiv.1506.02317,
title = {A canonical dimension estimate for non-split semisimple p-adic Lie groups},
author = {Konstantin Ardakov and Christian Johansson},
journal= {arXiv preprint arXiv:1506.02317},
year = {2015}
}
Comments
10 pages. Comments welcome