A linear AFL for quaternion algebras

被引：0
|
作者：
Hultberg, Nuno [1 ]
Mihatsch, Andreas [2 ]
机构：
[1] Westlake Univ, Inst Theoret Sci, 600 Dunyu Rd, Hangzhou 310030, Zhejiang, Peoples R China
[2] Zhejiang Univ, Sch Math Sci, 866 Yuhangtang Rd, Hangzhou 310058, Peoples R China
来源：
CANADIAN JOURNAL OF MATHEMATICS-JOURNAL CANADIEN DE MATHEMATIQUES | 2025年
关键词：
Arithmetic fundamental lemma; quaternion algebra; Rapoport-Zink space; orbital integral; intersection number;
D O I：
10.4153/S0008414X24001020
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
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 $1/2$ .
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页数：23
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