Leibniz and Lie Algebra Structures for Nambu Algebra

被引：0

作者：

Yuri L. Daletskii

Leon A. Takhtajan

机构：

[1] National Technical University of Ukraine,

[2] Department of Mathematics,undefined

来源：

Letters in Mathematical Physics | 1997年 / 39卷

关键词：

Leibniz algebra; Nambu algebra; Lie algebra; homological and cohomological complexes; Jacobi identity.;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

We canonically associate a Leibniz algebra with every Nambu algebra. We show how various homological and cohomological complexes for a Nambu algebra can be naturally obtained from its structure as a module over the Leibniz algebra. We also present a generalization of a classical Lie--Berezin construction for Nambu algebras and extend these results for Nambu superalgebras.

引用

页码：127 / 141

页数：14

共 14 条

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