Tame tori in p-adic groups and good semisimple elements
Representation Theory
2018-01-17 v1 Number Theory
Abstract
Let G be a reductive group over a non-archimedean local field k. We provide necessary conditions and sufficient conditions for all tori of G to split over a tamely ramified extension of k. We then show the existence of good semisimple elements in every Moy-Prasad filtration coset of the group G(k) and its Lie algebra, assuming the above sufficient conditions are met.
Keywords
Cite
@article{arxiv.1801.04955,
title = {Tame tori in p-adic groups and good semisimple elements},
author = {Jessica Fintzen},
journal= {arXiv preprint arXiv:1801.04955},
year = {2018}
}
Comments
19 pages, 2 figures