Correspondance de Jacquet-Langlands étendue à toutes les représentations

2002/01/16 by Alexandru Ioan Badulescu, Badulescu, Alexandru Ioan
Arts and Humanities · Mathematics · Physics and Astronomy · #Advanced Differential Geometry Research #FOS: Mathematics #Group Theory (math.GR) #Philosophy, Science, and History #math.GR

paper · pdf · doi:10.48550/arxiv.math/0201142

openalex publication_date 2002/01/16 · arxiv created 2003/04/08 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We propose a generalisation of the Jacquet-Langlands correspondence to the whole Grothendieck group of finite lenght admissible representations. As an application we prove some particular cases of the global Jacquet-Langlands correspondence, and that a class of representations of a inner form of GL_n over a p-adic field is unitarisable, which agree with some conjecture of Tadic.

Related

• Geometric approach to the local Jacquet-Langlands correspondence
• Global Jacquet-Langlands correspondence for division algebras in characteristic p
• The local Langlands correspondence for GL(n) over p-adic fields
• On the local Langlands correspondence
• Explicit local Jacquet-Langlands correspondence: the non-dyadic wild case