Les facteurs de transfert pour les groupes classiques: un formulaire

TL;DR

This paper explicitly computes transfer factors for classical groups within the theory of endoscopy, providing concrete formulas where previously only abstract definitions existed.

Contribution

It offers explicit calculations of transfer factors for classical groups, advancing the understanding of endoscopic transfer in these cases.

Findings

Explicit formulas for transfer factors of classical groups

Bridging abstract definitions with concrete computations

Enhancing applications in endoscopy and automorphic forms

Abstract

In the theory of endoscopy appears transfer factors. They were defined by Langlands and Shelstad in the ordinary case and by Kottwitz and Shelstad in the twisted case. The definition is abstract. For classical groups, we compute explicitely these factors.