Enveloping algebras of Filippov algebras

被引：30

作者：

Pojidaev, AP

机构：

[1] Univ Sao Paulo, Dept Matemat, BR-05311970 Sao Paulo, Brazil

[2] Sobolev Inst Math, Novosibirsk, Russia

来源：

COMMUNICATIONS IN ALGEBRA | 2003年 / 31卷 / 02期

基金：

巴西圣保罗研究基金会; 俄罗斯基础研究基金会;

关键词：

D O I：

10.1081/AGB-120017349

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

The question of existence of n-ary systems playing the role of enveloping algebras for Filippov (n-Lie) algebras is investigated. We consider the ternary algebras whose reduced binary algebras are associative, the associative algebras, and two other classes of ternary algebras as possible enveloping algebras.

引用

页码：883 / 900

页数：18

共 8 条

[1] Leibniz and Lie algebra structures for Nambu algebra [J].