We describe the simple Lie superalgebras arising from the unital structurable superalgebras of characteristic 0 and construct four series of the unital simple structurable superalgebras of Cartan type. We give a classification ...

The classic Kemer's Theorem, established in $1979$, states that a variety of algebras $V$ has polynomial growth if, and only if, $UT_2, \mathcal{G} \notin V$. The Kemer’s caracterization was extended to algebras with ...

Michele Vergne inició el estudio de la geometría de la variedad algebraica de todas las álgebras o corchetes de Lie nilpotentes mostrando el rol distintivo de las álgebras de Lie nilpotentes filiformes, aquéllas de nilíndice ...

Let F be a field of characteristic zero. Considering that the T-ideal of the algebra of matrices M3(F) is still unknown, some authors study such algebra endowed with additional structures. This thesis was inspired by the ...

Si g es un álgebra de Lie, la cohomología H**(g) tiene una estructura de súper-álgebra de Poisson con producto asociativo súper-conmutativo V y un súper-corchete de Lie {-,-} que se compatibiliza con el producto \vee en ...

We construct recursively an infinite number of Poisson structures for the supersymmetric integrable hierarchy governing the Pohlmeyer reduction of superstring sigma models on the target spaces AdS(n) x S(n), n = 2, 3, 5. ...

We construct recursively an infinite number of Poisson structures for the supersymmetric integrable hierarchy governing the Pohlmeyer reduction of superstring sigma models on the target spaces AdS(n) x S(n), n = 2, 3, 5. ...