Orders of quaternion algebras with involution

被引：2
|
作者：
Sheydvasser, Arseniy [1 ]
机构：
[1] Yale Univ, Dept Math, 10 Hillhouse Ave, New Haven, CT 06511 USA
来源：
JOURNAL OF NUMBER THEORY | 2018年 / 183卷
关键词：
Orders; Quaternion algebra; Involution; Lattices; Quadratic spaces; Local fields;
D O I：
10.1016/j.jnt.2017.07.015
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We introduce the notion of maximal orders over quaternion algebras with orthogonal involution and give a classification over local and global fields. Over local fields, we show that there is a correspondence between maximal and/or modular lattices and orders closed under the involution. Published by Elsevier Inc.
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页码：249 / 268
页数：20
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