Jos'e M. S'anchez

collaborators

4 papers

math.RT2025

Classification of $4$ -dimensional complex Poisson algebras

Hani Abdelwahab, JosÃ© MarÃa SÃ¡nchez

The present paper is devoted to the complete classification of $4$ -dimensional complex Poisson algebras, taking into account a classification, up to isomorphism, of the complex com…

math.RT2024

Weight modules over split Lie algebras

Antonio J. CalderÃ³n, JosÃ© M. SÃ¡nchez

We study the structure of weight modules $V$ with restrictions neither on the dimension nor on the base field, over split Lie algebras $L$ . We show that if $L$ is perfect and $V$ s…

math.RA2024

Graded pseudo-H-rings

Antonio J. CalderÃ³n, Antonio DÃaz, Marina Haralampidou +1

Consider a pseudo- $H$ -space $E$ endowed with a separately continuous biadditive associative multiplication which induces a grading on $E$ with respect to an abelian group $G$ . We c…

math.RA2024

On split Leibniz superalgebras

We study the structure of arbitrary split Leibniz superalgebras. We show that any of such superalgebras $L$ is of the form $L = U + \sum_{j} I_{j}$ with ${\ma…

Classification of 4-dimensional complex Poisson algebras

Weight modules over split Lie algebras

Graded pseudo-H-rings

On split Leibniz superalgebras

Classification of $4$ -dimensional complex Poisson algebras