On the local Langlands conjectures for disconnected groups

2022/10/05 by Kaletha, Tasho · 2 citations
#FOS: Mathematics #Number Theory (math.NT) #Representation Theory (math.RT)

paper · doi:10.48550/arxiv.2210.02519

Abstract

We extend the local Langlands conjectures to a certain class of disconnected groups, allowing non-abelian component groups, and recast in this language some aspects of twisted endoscopy. We further introduce normalized twisted transfer factors and a normalized correspondence between an L-packet for a disconnected group and the set of representations of the centralizer groups of its Langlands parameter.

Cited by

• Finite Langlands correspondence
• The Hiraga-Ichino-Ikeda Conjecture for Principal Series of Split p-adic Groups

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