Linkage of quadratic Pfister forms

被引：9
|
作者：
Chapman, Adam [1 ]
Gilat, Shira [2 ]
Vishne, Uzi [2 ]
机构：
[1] Tel Hai Acad Coll, Dept Comp Sci, IL-12208 Upper Galilee, Israel
[2] Bar Ilan Univ, Dept Math, Ramat Gan, Israel
来源：
COMMUNICATIONS IN ALGEBRA | 2017年 / 45卷 / 12期
关键词：
Linkage; Pfister forms; quadratic forms; quaternion algebras; QUATERNION ALGEBRAS; FUNCTION-FIELDS; CHARACTERISTIC-2;
D O I：
10.1080/00927872.2017.1298776
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We study the necessary conditions for sets of quadratic n-fold Pfister forms to have a common (n-1)-fold Pfister factor. For any set S of n-fold Pfister forms generating a subgroup of (IqF)-F-n/Iqn+1F of order 2s in which every element has an n-fold Pfister representative, we associate an invariant in Iqn+1F which lives inside Iqn+s-1F when the forms in S have a common (n-1)-fold Pfister factor. We study the properties of this invariant and compute it explicitly in a few interesting cases.
引用
收藏
页码：5212 / 5226
页数：15
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