L-groups and the Langlands program for covering groups: a historical introduction

2017/05/22 by Gan, Wee Teck, Gao, Fan, Weissman, Martin H. · 2 citations
#FOS: Mathematics #History and Overview (math.HO) #Number Theory (math.NT) #Primary 11F70 #Representation Theory (math.RT) #Secondary 22E50

paper · doi:10.48550/arxiv.1705.07559

Abstract

In this joint introduction to an Asterisque volume, we give a short discussion of the historical developments in the study of nonlinear covering groups, touching on their structure theory, representation theory and the theory of automorphic forms. This serves as a historical motivation and sets the scene for the papers in the volume. Our discussion is necessarily subjective and will undoubtedly leave out the contributions of many authors, to whom we apologize in earnest.

Cited by

• Decomposed Levi subgroups in BD-covers of classical groups
• Motives and Automorphic Representations

Related

• The L-group of a covering group
• The Langlands-Weissman Program for Brylinski-Deligne extensions
• L-groups and parameters for covering groups
• A comparison of L-groups for covers of split reductive groups
• Admissible embedding of L-groups and essentially tame local Langlands correspondence