3 citations · 3 across the 2 of their papers we have counts for
5 papers
Lie-Rinehart cohomology and integrable connections on modules of rank one
Eivind Eriksen, Trond Stølen Gustavsen
Let be an algebraically closed field of characteristic 0, let be a commutative -algebra, and let be a torsion free -module of rank one with a connection .…
An example of noncommutative deformations
Eivind Eriksen
We compute the noncommutative deformations of a family of modules over the first Weyl algebra. This example shows some important properties of noncommutative deformation theory tha…
Computing noncommutative global deformations of D-modules
Eivind Eriksen
Let (X,D) be a D-scheme in the sense of Beilinson and Bernstein, given by an algebraic variety X and a morphism O_X -> D of sheaves of rings on X. We consider noncommutative deform…
Iterated extensions in module categories
Eivind Eriksen
Let k be an algebraically closed field, let R be an associative k-algebra, and let F = {M_a: a in I} be a family of orthogonal points in R-Mod such that End_R(M_a) = k for all a in…
An introduction to noncommutative deformations of modules
Eivind Eriksen
This paper gives an elementary introduction to noncommutative deformations of modules. The main results of this deformation theory are due to Laudal. Let k be an algebraically clos…