Some necessary and sufficient conditions for nilpotent $n$-Lie superalgebras

Title:

Some necessary and sufficient conditions for nilpotent $n$-Lie superalgebras

Creator:

Guan, Baoling, Chen, Liangyun, and Ma, Yao

Identifier:

https://cdk.lib.cas.cz/client/handle/uuid:248fb989-926a-4412-967a-568275adeaa2
uuid:248fb989-926a-4412-967a-568275adeaa2

Subject:

nilpotent $n$-Lie superalgebra, Engel's theorem, $S^{\ast }$ algebra, and Frattini subalgebra

Type:

model:article and TEXT

Format:

bez média and svazek

Description:

The paper studies nilpotent $n$-Lie superalgebras over a field of characteristic zero. More specifically speaking, we prove Engel's theorem for $n$-Lie superalgebras which is a generalization of those for $n$-Lie algebras and Lie superalgebras. In addition, as an application of Engel's theorem, we give some properties of nilpotent $n$-Lie superalgebras and obtain several sufficient conditions for an $n$-Lie superalgebra to be nilpotent by using the notions of the maximal subalgebra, the weak ideal and the Jacobson radical.

Language:

English

Rights:

http://creativecommons.org/publicdomain/mark/1.0/
policy:public

Coverage:

1019-1034

Source:

Czechoslovak Mathematical Journal | 2014 Volume:64 | Number:4

Harvested from:

CDK

Metadata only:

false