A. Calderón

activity

20162020

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Showing math.RAShow all

4 papers · 1 filter

math.RA2020

Leibniz superalgebras with a set grading

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

Consider a Leibniz superalgebra $L$ additionally graded by an arbitrary set $I$ (set grading). We show that $L$ decomposes as the sum of well-described graded i…

math.RA2019

The algebraic and geometric classification of nilpotent binary Lie algebras

Hani Abdelwahab, Antonio Jesús Calderón, Ivan Kaygorodov

The paper is devoted to give the complete algebraic classification of nilpotent binary Lie algebras of dimension $\leq 6$ over an arbitrary base field $F$ of characteris…

math.RA2018

The classification of $2$ -dimensional rigid algebras

Antonio Jesús Calderón, Amir Fernández Ouaridi, Ivan Kaygorodov

Using the algebraic classification of all $2$ -dimensional algebras, we give the algebraic classification of all $2$ -dimensional rigid, conservative and terminal algebras over an al…

math.RA2018

The classification of $n$ -dimensional anticommutative algebras with $(n - 3)$ -dimensional annihilator

Antonio Jesús Calderón, Amir Fernández Ouaridi, Ivan Kaygorodov

We give the classification of all $n$ -dimensional anticommutative complex algebras with $(n - 3)$ -dimensional annihilator. Namely, we describe all central extensions of all $3$ -dimen…

Leibniz superalgebras with a set grading

The algebraic and geometric classification of nilpotent binary Lie algebras

The classification of 2-dimensional rigid algebras

The classification of n-dimensional anticommutative algebras with (n−3)-dimensional annihilator

The classification of $2$ -dimensional rigid algebras

The classification of $n$ -dimensional anticommutative algebras with $(n - 3)$ -dimensional annihilator