11 citations · 32 across the 7 of their papers we have counts for
7 papers
On the structure of graded Lie superalgebras
Antonio J. Calderón, José M. Sanchez
We study the structure of graded Lie superalgebras with arbitrary dimension and over an arbitrary field . We show that any of such algebras with a symm…
Modules over linear spaces admitting a multiplicative basis
Antonio J. Calderón, Francisco J. Navarro Izquierdo, José M. Sánchez
We study the structure of certain modules over linear spaces with restrictions neither on the dimensions nor on the base field . A basis $\mathfrak B = \{v_i\}_{…
Weight modules over split Lie algebras
Antonio J. Calderón, José M. Sánchez
We study the structure of weight modules with restrictions neither on the dimension nor on the base field, over split Lie algebras . We show that if is perfect and s…
Graded pseudo-H-rings
Antonio J. Calderón, Antonio Díaz, Marina Haralampidou +1
Consider a pseudo--space endowed with a separately continuous biadditive associative multiplication which induces a grading on with respect to an abelian group . We c…
On split Leibniz superalgebras
Antonio J. Calderón, José M. Sánchez
We study the structure of arbitrary split Leibniz superalgebras. We show that any of such superalgebras is of the form with ${\ma…
Non-degenerate evolution algebras
Antonio Jesús Calderón Martín, Amir Fernández Ouaridi, Ivan Kaygorodov
In this paper we introduce a new invariant for a non-degenerate evolution algebra, which consists of an ordered sequence of evolution algebras of lower dimension, belonging all of…
Gradings and Symmetries on Heisenberg type algebras
A. Calderón, C. Draper, C. Martín +1
We describe the fine (group) gradings on the Heisenberg algebras, on the Heisenberg superalgebras and on the twisted Heisenberg algebras. We compute the Weyl groups of these gradin…