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

Geo Kam-Fai Tam

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arXiv · 1111.4732

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

Geo Kam-Fai Tam

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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.

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BibTeX RIS

Geo Kam-Fai Tam. 2011-11-21. Admissible embedding of L-groups and essentially tame local Langlands correspondence. https://arxiv.org/abs/1111.4732

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