7 papers
A Coordinatization Theorem for the Jordan algebra of symmetric 2x2 matrices
Jesús Laliena, Victor López Solís, Ivan Shestakov
The Jacobson Coordinatization Theorem describes the structure of unitary Jordan algebras containing the algebra of symmetric nxn matrices over a field F with the same iden…
Free nilpotent and nilpotent quadratic Lie algebras
Pilar Benito, Daniel de-la-Concepción, Jesús Laliena
In this paper we introduce an equivalence between the category of the t-nilpotent quadratic Lie algebras with d generators and the category of some symmetric invariant bilinear for…
On the Lie structure of a prime associative superalgebra
Jesus Laliena
In this paper some results on the Lie structure of prime superalgebras are discussed. We prove that, with the exception of some special cases, for a prime superalgebra, , over a…
The derived superalgebra of skew elements of a semiprime superalgebra with superinvolution
Jesus Laliena
In this paper we investigate the Lie structure of the derived Lie superalgebra [K, K], with K the set of skew elements of a semiprime associative superalgebra A with superinvolutio…
Lie structure in semiprime superalgebrs with superinvolution
Jesus Laliena, Sara Sacritan
In this paper we investigate the Lie structure of the Lie superalgebra K of skew elements of a semiprime associative superalgebra A with superinvolution. We show that if U is a Lie…
Maximal subalgebras of Jordan superalgebras
Alberto Elduque, Jesus Laliena, Sara Sacristan
The maximal subalgebras of the finite dimensional simple special Jordan superalgebras over an algebraically closed field of characteristic 0 are studied. This is a continuation of…