A criterion of decomposability for degree 4 algebras with unitary involution

被引：8

作者：

Karpenko, N

Quéguiner, A ^{[1
]}

机构：

[1] Univ Paris 13, Inst Galilee, UMR 7539, Lab Anal Geometrie & Applicat, F-93430 Villetaneuse, France

[2] Univ Munster, Inst Math, D-48149 Munster, Germany

来源：

JOURNAL OF PURE AND APPLIED ALGEBRA | 2000年 / 147卷 / 03期

关键词：

D O I：

10.1016/S0022-4049(98)00136-4

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let A be a degree 4 central simple algebra endowed with a unitary involution a. We prove that (A, sigma) is decomposable if and only if its discriminant (i.e. the Brauer class of its discriminant algebra) is trivial. (C) 2000 Elsevier Science B.V. All rights reserved.

引用

页码：303 / 309

页数：7

共 7 条

[1] Normal division algebras of degree four over an algebraic field [J].