Leibniz and Lie algebra structures for Nambu algebra

被引：112

作者：

Daletskii, YL ^{[1
]}

Takhtajan, LA ^{[1
]}

机构：

[1] SUNY STONY BROOK,DEPT MATH,STONY BROOK,NY 11794

来源：

LETTERS IN MATHEMATICAL PHYSICS | 1997年 / 39卷 / 02期

关键词：

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

D O I：

10.1023/A:1007316732705

中图分类号：

O4 [物理学];

学科分类号：

0702 ;

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：15

共 13 条

[1] Dynamical symmetries and Nambu mechanics [J].