Classification of (2n−1)-dimensional solvable Leibniz algebras with <i>n</i>-dimensional nilradical

Аннотация

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.

Темы

Идентификаторы

DOI

10.1080/00927872.2020.1851376

Цитирования и источники