A linear AFL for quaternion algebras
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 $1/2$ .
Authors
- Andreas Mihatsch (ORCID: https://orcid.org/0000-0003-2959-1660)
- Nuno Hultberg (ORCID: https://orcid.org/0000-0003-0097-0499)
Institutions
- Westlake University (CN)
- Zhejiang University (CN)
Publication Details
- Journal
- Canadian Journal of Mathematics
- Published
- 2025-03-04
- DOI
- https://doi.org/10.4153/s0008414x24001020
- Citations
- 2
- Primary Topic
- Polynomial and algebraic computation
- Type
- article
- Field-Weighted Citation Impact
- 3.01