Gradings of simple Jordan algebras and their relation to the gradings of simple associative algebras

被引：13
|
作者：
Bahturin, Y [1 ]
Shestakov, I
机构：
[1] Mem Univ Newfoundland, Dept Math & Stat, St Johns, NF A1C 5S7, Canada
[2] Univ Sao Paulo, Inst Math & Estatist, BR-05315970 Sao Paulo, Brazil
[3] Sobolev Inst Math, Novosibirsk, Russia
来源：
COMMUNICATIONS IN ALGEBRA | 2001年 / 29卷 / 09期
关键词：
D O I：
10.1081/AGB-100105990
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In this paper we describe all group gradings of the simple Jordan algebra of a non-degenerate symmetric form on a vector space over a field of characteristic different from 2. If we use the notion of the Clifford algebra, then we are able to recover some of the gradings on matrix algebras obtained in an entirely different way in [BSZ].
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收藏
页码：4095 / 4102
页数：8
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