16 citations · 35 across the 14 of their papers we have counts for
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The Generalized Burnside Theorem in noncommutative deformation theory
Eivind Eriksen
Let A be an associative algebra over a field, and let M be a finite family of right A-modules. Study of the noncommutative deformation functor of the family M leads to the construc…
Equivariant Lie-Rinehart cohomology
Eivind Eriksen, Trond S. Gustavsen
In this paper, we study Lie-Rinehart cohomology for quotients of singularities by finite groups, and interpret these cohomology groups in terms of integrable connection on modules.
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…
Connections on modules over singularities of finite CM representation type
Eivind Eriksen, Trond S. Gustavsen
Let A be a commutative k-algebra, where k is an algebraically closed field of characteristic 0, and let M be an A-module. We consider the following question: Under what conditions…