English

Topological Jordan decompositions

Group Theory 2009-04-25 v2

Abstract

The notion of a topological Jordan decomposition of a compact element of a reductive p-adic group has proven useful in many contexts. In this paper, we generalise it to groups defined over fairly general discretely-valued fields and prove the usual existence and uniqueness properties, as well as an analogue of a fixed-point result of Prasad and Yu.

Keywords

Cite

@article{arxiv.math/0612475,
  title  = {Topological Jordan decompositions},
  author = {Loren Spice},
  journal= {arXiv preprint arXiv:math/0612475},
  year   = {2009}
}

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28 pages