4.3 Article

Classification of (2n-1)-dimensional solvable Leibniz algebras with n-dimensional nilradical

Journal

COMMUNICATIONS IN ALGEBRA
Volume 49, Issue 4, Pages 1751-1763

Publisher

TAYLOR & FRANCIS INC
DOI: 10.1080/00927872.2020.1851376

Keywords

Derivation; Leibniz algebra; nilpotency; nilradical; solvability

Categories

Ask authors/readers for more resources

The article studies solvable Leibniz algebras with abelian nilradicals and estimates the relation between the dimensions of nilradicals and their corresponding complemented space. It also describes (2n - 1)-dimensional solvable Leibniz algebras with n-dimensional nilradicals, where the nilradicals are either n-dimensional abelian algebras or algebras with one-dimensional square. Additionally, the second cohomology groups of the algebras discussed in the article are computed.
In this article we study solvable Leibniz algebras with abelian nilradicals. The relation between the dimensions of nilradicals and of the corresponding complemented space to the nilradical is estimated. Moreover, we describe (2n - 1)-dimensional solvable Leibniz algebras with n-dimensional nilradical. It is know that the nilradical of these algebras is either n-dimensional abelian algebra or an algebra with one-dimensional square. In addition, the second cohomology groups of the algebras given in the article are computed.

Authors

I am an author on this paper
Click your name to claim this paper and add it to your profile.

Reviews

Primary Rating

4.3
Not enough ratings

Secondary Ratings

Novelty
-
Significance
-
Scientific rigor
-
Rate this paper

Recommended

No Data Available
No Data Available