16 citations · 35 across the 14 of their papers we have counts for
15 papers
Iterated Extensions and Uniserial Length Categories
Eivind Eriksen
In this paper, we study length categories using iterated extensions. We consider the problem of classifying all indecomposable objects in a length category, and the problem of char…
Graded Holonomic D-modules on Monomial Curves
Eivind Eriksen
In this paper, we study the holonomic -modules when is the ring of -linear differential operators on , the coordinate ring of an affine monomial curve over the…
The algebra of observables in noncommutative deformation theory
Eivind Eriksen, Arvid Siqveland
We consider the algebra of observables and the (formally) versal morphism defined by the noncommutative deformation functor…
Coherent rings of differential operators
Eivind Eriksen
We consider the following question: When are rings of differential operators coherent? If is a finitely generated smooth domain over a field of characteristic , then the…
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.