22 citations · 58 across the 6 of their papers we have counts for
8 papers
Deformations of semi-direct products
Maria Alejandra Alvarez, Salim Rivière, Nadina Rojas +2
We exhibit in this article a contraction of the direct product Lie algebra of a finite-dimensional complex Lie algebra onto the semi-direct product Lie algebra $g\r…
The algebraic and geometric classification of Zinbiel algebras
María Alejandra Alvarez, Renato Fehlberg Júnior, Ivan Kaygorodov
This paper is devoted to the complete algebraic and geometric classification of complex -dimensional Zinbiel algebras. In particular, we proved that the variety of complex -d…
The algebraic and geometric classification of nilpotent weakly associative and symmetric Leibniz algebras
María Alejandra Alvarez, Ivan Kaygorodov
This paper is devoted to the complete algebraic and geometric classification of complex -dimensional nilpotent weakly associative, complex -dimensional symmetric Leibniz alge…
Central extensions of 3-dimensional Zinbiel algebras
María Alejandra Alvarez, Thiago Castilho de Mello, Ivan Kaygorodov
We describe all central extensions of all -dimensional non-zero complex Zinbiel algebras. As a corollary, we have a full classification of -dimensional non-trivial complex Zi…
Degenerations of 8-dimensional 2-step nilpotent Lie algebras
María Alejandra Alvarez
In this work, we consider degenerations between 8-dimensional 2-step nilpotent Lie algebras over and obtain the geometric classification of the variety $\mathcal{N}^2_…
Varieties of Nilpotent Lie Superalgebras of dimension
María Alejandra Alvarez, Ma Isabel Hernández
In this paper we study the varieties of nilpotent Lie superalgebras of dimension . We provide the algebraic classification of these superalgebras and obtain the irreducible…