Orthogonal involutions and totally singular quadratic forms in characteristic two

被引：7

作者：

Nokhodkar, A-H. ^{[1
]}

机构：

[1] Univ Kashan, Dept Pure Math, Fac Sci, POB 87317-51167, Kashan, Iran

来源：

MANUSCRIPTA MATHEMATICA | 2017年 / 154卷 / 3-4期

关键词：

ALGEBRAS;

D O I：

10.1007/s00229-017-0922-y

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We associate to every central simple algebra with involution of orthogonal type in characteristic two a totally singular quadratic form which reflects certain anisotropy properties of the involution. It is shown that this quadratic form can be used to classify totally decomposable algebras with orthogonal involution. Also, using this form, a criterion is obtained for an orthogonal involution on a split algebra to be conjugated to the transpose involution.

引用

页码：429 / 440

页数：12

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