L-indistinguishability for covering groups of algebraic tori
Number Theory
2026-05-15 v1
Abstract
A global packet may simultaneously contain an automorphic representation and a non-automorphic representation. The global -group is expected, and known in some cases, to specify the automorphic representations in each global packet. For a covering group of an algebraic torus, it is not obvious from the definition whether the analogue of a global -group has finite order. In this paper, we verify this finiteness for a Brylinski-Deligne covering group of a torus.
Keywords
Cite
@article{arxiv.2605.14307,
title = {L-indistinguishability for covering groups of algebraic tori},
author = {Yuki Nakata},
journal= {arXiv preprint arXiv:2605.14307},
year = {2026}
}