Differentiably simple Jordan algebras

被引：5
|
作者：
Popov, A. A. [1 ]
机构：
[1] Novosibirsk State Univ, Sobolev Inst Math, Novosibirsk 630090, Russia
来源：
SIBERIAN MATHEMATICAL JOURNAL | 2013年 / 54卷 / 04期
基金：
俄罗斯基础研究基金会;
关键词：
Jordan algebra; derivation; differentiably simple algebra; SIMPLE RINGS; SUPERALGEBRAS; LIE;
D O I：
10.1134/S0037446613040113
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
We prove that each exceptional differentiably simple Jordan algebra over a field of characteristic 0 is an Albert ring whose elements satisfy a cubic equation with the coefficients in the center of the algebra. If the characteristic of the field is greater than 2 then such an algebra is the tensor product of its center and a central exceptional simple 27-dimensional Jordan algebra. Some remarks made on special algebras.
引用
收藏
页码：713 / 721
页数：9
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