Some irreducible components of the variety of complex $n+1$-dimensional Leibniz algebras

Abstract

In the present paper we indicate some Leibniz algebras whose closures of orbits under the natural action of $\GL_n$ form an irreducible component of the variety of complex $n$-dimensional Leibniz algebras. Moreover, for these algebras we calculate the bases of their second groups of cohomologies.

arXiv comment19 pages