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 ...

We show that the action of the Lie algebra HH1(A) of outer derivations of an associative algebra A on the Hochschild cohomology HH•(A) of A given by the Gerstenhaber bracket can be computed in terms of an arbitrary projective ...

In this paper we determine the first Hochschild homology and cohomology with different coefficients for gentle algebras and we give a geometrical interpretation of these (co)homologies using the ribbon graph of a gentle ...

We describe the Gerstenhaber algebra structure on the Hochschild cohomology HH∗(A) when A is a quadratic string algebra. First we compute the Hochschild cohomology groups using Barzdell’s resolution and we describe generators ...

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 ...

Introducción: La técnica de arco recto es una de las técnicas más utilizadas para la corrección de maloclusiones en ortodoncia; sin embargo, el éxito de la técnica radicará en la exactitud en que se posicionan los brackets. ...

We prove that there are no rigid complex filiform Lie algebras in the variety of (filiform) Lie algebras of dimension less than or equal to 11. More precisely we show that in any Euclidean neighborhood of a filiform Lie ...

In this paper, we study the Ricci flow of solvmanifolds whose Lie algebra has an abelian ideal of codimension one, by using the bracket flow. We prove that solutions to the Ricci flow are immortal, the omega-limit of bracket ...

For each nonzero h ∈ F[x], where F is a field, let Ah be the unital associative algebra generated by elements x; y, satisfying the relation yx - xy = h. This gives a parametric family of subalgebras of the Weyl algebra A1, ...