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

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.

arXiv commentThis paper has been withdrawn by the author.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

Cited by in corpus (2)

• On Certain Admissible Embeddings of L-groups
• On finite symplectic modules arising from supercuspidal representations