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.

引用

页码：249 / 268

页数：20

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