Arthur's groups $\mathcal S$ in local Langlands correspondence for certain covering groups of algebraic tori
Yuki Nakata
Published: 2025/3/27
Abstract
We determine the finite group $\mathcal S$ parametrizing a packet in the local Langlands correspondence for a Brylinski-Deligne covering group of an algebraic torus, under some assumption on ramification. Especially, this work generalizes Weissman's result on covering groups of tori that split over an unramified extension of the base field.