2025/04/10 by Lu, Yan-Der
#FOS: Mathematics #Representation Theory (math.RT)
paper · doi:10.48550/arxiv.2504.07639
In this article, we present two novel approaches to constructing weighted orbital integrals of an inner form of a general linear group. Our method utilizes generalized Lustig-Spaltenstein induction. Furthermore, we will prove that a weighted orbital integral on the Lie algebra constitutes a tempered distribution. We also demonstrate that our new definitions and Arthur's original definition are consistent.