A. Calder'on

activity

20172022

collaborators

4 papers

math.RA2022

The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four

Hani Abdelwahab, Elisabete Barreiro, Antonio J. Calderón +1

In this paper we generalize the Skjelbred Sund method, used to classify nilpotent Lie algebras, in order to classify triple systems with non zero annihilator. We develop this metho…

math.RA2018

Classification of bilinear maps with radical of codimension 2

Antonio Jesús Calderón, Amir Fernández Ouaridi, Ivan Kaygorodov

Let $V$ be an $n$ -dimensional linear space over an algebraically closed base field. We provide a classification, up to equivalence, of all of the bilinear maps $f:{\mathb…

math.RA2018

Decompositions of linear spaces induced by $n$ -linear maps

Antonio Jesús Calderón, Ivan Kaygorodov, Paulo Saraiva

Let $V$ be an arbitrary linear space and $f : V \times \dots \times V \to V$ an $n$ -linear map. It is proved that, for each choice of a basis ${\math…

math.RA2017

Split Lie-Rinehart algebras

Helena Albuquerque, Elisabete Barreiro, Antonio J. Calderón +1

We introduce the class of split Lie-Rinehart algebras as the natural extension of the one of split Lie algebras. We show that if $L$ is a tight split Lie-Rinehart algebra over an a…

The algebraic and geometric classification of nilpotent Lie triple systems up to dimension four

Classification of bilinear maps with radical of codimension 2

Decompositions of linear spaces induced by n-linear maps

Split Lie-Rinehart algebras

Decompositions of linear spaces induced by $n$ -linear maps