English

On the multiplicity formula for discrete automorphic representations of disconnected tori

Representation Theory 2024-04-10 v2 Number Theory

Abstract

Kaletha extended local Langlands conjectures to a certain class of disconnected groups and proved them for disconnected tori. Our first main result is a reinterpretation of the local Langlands correspondence for disconnected tori. Our second, and the central objective of this paper, is to establish an automorphic multiplicity formula for disconnected tori.

Keywords

Cite

@article{arxiv.2312.16389,
  title  = {On the multiplicity formula for discrete automorphic representations of disconnected tori},
  author = {Yi Luo},
  journal= {arXiv preprint arXiv:2312.16389},
  year   = {2024}
}