Admissible embedding of L-groups and essentially tame local Langlands correspondence

Geo Kam-Fai Tam

Admissible embedding of L-groups and essentially tame local Langlands correspondence

Representation Theory 2013-03-13 v2

Authors: Geo Kam-Fai Tam

Abstract

Let $F$ be a non-Archimedean local field and $G$ be the general linear group $\mathrm{GL}_n$ over $F$ . Based on the previous results of the author, we can describe the Langlands parameter of an essentially tame supercuspidal representation of $G(F)$ by those admissible embeddings of L-groups constructed by Langlands and Shelstad. We therefore provide a different interpretation on Bushnell and Henniart's essentially tame local Langlands correspondence.

Keywords

L-groups admissible embedding essentially tame local Langlands correspondence supercuspidal representations Langlands parameter

Cite

@article{arxiv.1111.4732,
  title  = {Admissible embedding of L-groups and essentially tame local Langlands correspondence},
  author = {Geo Kam-Fai Tam},
  journal= {arXiv preprint arXiv:1111.4732},
  year   = {2013}
}

Comments

This paper has been withdrawn by the author. This article is merged into Chapter 9 of arxiv:1205.2179

Admissible embedding of L-groups and essentially tame local Langlands correspondence

Abstract

Keywords

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