Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8255731 | Journal of Geometry and Physics | 2018 | 17 Pages |
Abstract
In this paper, we introduce the notion of a generalized derivation on a 3-Lie algebra. We construct a new 3-Lie algebra using a generalized derivation and call it the generalized derivation extension. We show that the corresponding Leibniz algebra on the space of fundamental objects is the double of a matched pair of Leibniz algebras. We also determine the corresponding Nambu-Poisson structures under some conditions.
Related Topics
Physical Sciences and Engineering
Mathematics
Mathematical Physics
Authors
Lina Song, Jun Jiang,