Quadratic forms in characteristic 2 and a Wedderburn decomposition over rationals

被引：0

作者：

Kaur, Dilpreet ^{[1
,2
]}

Kulshrestha, Amit ^{[1
]}

机构：

[1] Indian Inst Sci Educ & Res, Sect 81, Knowledge City 140306, Mohali, India

[2] Indian Inst Sci Educ & Res, Dr Homi Bhabha Rd, Pune 411008, Maharashtra, India

来源：

JOURNAL OF ALGEBRA AND ITS APPLICATIONS | 2019年 / 18卷 / 01期

关键词：

Quadratic maps; real special 2-groups; Wedderburn decomposition; CENTRAL IDEMPOTENTS;

D O I：

10.1142/S0219498819500105

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

Let F be a field of characteristic 2. In this paper, we provide an interesting application of quadratic forms over F in determination of the Wedderburn decomposition of the rational group algebra Q[G], where G is a real special 2-group. We further apply these computations to exhibit two non-isomorphic real special 2-groups with isomorphic rational group algebra.

引用

页数：18

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