F. Kordon

activity

20182022

collaborators

4 papers

math.KT2022

Center and Lie algebra of outer derivations for algebras of differential operators associated to hyperplane arrangements

Francisco Kordon, Thierry Lambre

We compute the center and the Lie algebra of outer derivations of a familiy of algebras of differential operators associated to hyperplane arrangements of the affine space A 3. The…

math.KT2020

Lie-Rinehart and Hochschild cohomology for algebras of differential operators

Francisco Kordon, Thierry Lambre

Let $(S, L)$ be a Lie-Rinehart algebra such that $L$ is $S$ -projective and let $U$ be its universal enveloping algebra. In this paper we present a spectral sequence which converges…

math.KT2018

The Hochschild cohomology of the enveloping algebra of a Lie-Rinehart pair

Francisco Kordon

Let $(S, L)$ be a Lie-Rinehart pair such that $L$ is $S$ -projective and let $U$ be its universal enveloping algebra. The purpose of this paper is to present a spectral sequence whic…

math.KT2018

Hochschild cohomology of algebras of differential operators tangent to a central arrangement of lines

Francisco Kordon, Mariano Suárez-Álvarez

Given a central arrangement of lines $A$ in a $2$ -dimensional vector space $V$ over a field of characteristic zero, we study the algebra $D (A)$ of diffe…