On the local constants of simple supercuspidal representations of GL(n,F)

TL;DR

This paper explicitly computes epsilon factors for simple supercuspidal representations of GL(n,F), clarifying their role in the local Langlands correspondence.

Contribution

It provides explicit calculations of epsilon factors for a specific class of supercuspidal representations, enhancing understanding of their local Langlands correspondence.

Findings

Explicit epsilon factors for simple supercuspidal representations

Clarification of local Langlands correspondence for these representations

Enhanced understanding of representation-theoretic invariants

Abstract

In this paper, we explicitly compute the standard epsilon factors on both sides of the local Langlands correspondence for simple supercuspidal representations of GL(n,F).