Rectifiers and the local Langlands correspondence: the unramified case

TL;DR

This paper extends the concept of rectifiers in the local Langlands correspondence from $GL_n(K)$ to a broader class of unramified connected reductive groups, enhancing the theoretical framework.

Contribution

It generalizes the rectifier construction to unramified connected reductive groups, broadening the scope of the local Langlands correspondence.

Findings

Generalization of rectifiers to new group classes

Enhanced understanding of unramified Langlands parameters

Potential applications to broader class of reductive groups

Abstract

We generalize the rectifier of Bushnell and Henniart, which occurs in the local Langlands correspondence for $GL_n(K)$, to certain Langlands parameters for unramified connected reductive groups.