Year: 2025
Type: article
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 .
Source: Canadian Journal of Mathematics
Authors: Nuno Hultberg, Andreas Mihatsch
Institutions: Westlake University, Zhejiang University
Language: English
Subfield: Mathematical Physics
Field: Mathematics
Domain: Physical Sciences
Open Access status: green
OpenAlex ID: W4408132159