English

Correspondance de Howe: paires duales de type II

Representation Theory 2007-09-28 v1

Abstract

In this article, we give a new method for proving Howe correspondence in the case of dual pairs of type (GLn,GLm)({\rm GL}_n, {\rm GL}_m) over a non-Archimedean locally compact field FF. The proof consists in combining a study on Kudla's filtration with the results of a previous article of the autor about the irreducibility of a parabolically induced representation. The proof is valid for FF of any characteristic and allows us to make the correspondence explicit in terms of Langlands parameters.

Keywords

Cite

@article{arxiv.0709.4384,
  title  = {Correspondance de Howe: paires duales de type II},
  author = {Alberto Minguez},
  journal= {arXiv preprint arXiv:0709.4384},
  year   = {2007}
}
R2 v1 2026-06-21T09:22:52.754Z