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
收藏
页数：18
相关论文
共 50 条
12345