A linear AFL for quaternion algebras
Nuno Hultberg, Andreas Mihatsch · Canadian Journal of Mathematics · 2025
Abstract We prove new fundamental lemma and arithmetic fundamental lemma identities for general linear groups over quaternion division algebras. In particular, we verify the transfer conjecture and the arithmetic transfer conjecture from Li and Mihatsch (2023, Preprint, arXiv:2307.11716) in cases of Hasse invariant 1 / 2 $1/2$ 1 divided by 2 .