English

Note on the non-preservation of depth

Representation Theory 2018-10-02 v2

Abstract

Let KK be a local field of characteristic pp. We consider the local Langlands correspondence for tori, and construct examples for which depth is not preserved.

Cite

@article{arxiv.1809.10625,
  title  = {Note on the non-preservation of depth},
  author = {Roger Plymen},
  journal= {arXiv preprint arXiv:1809.10625},
  year   = {2018}
}

Comments

3 pages; revised proof on p.2, results now more general

R2 v1 2026-06-23T04:20:44.431Z