21 citations · 38 across the 11 of their papers we have counts for
11 papers
Higher torsion classes, -tilting theory and silting complexes
Jenny August, Johanne Haugland, Karin M. Jacobsen +3
Initiated in work by Adachi, Iyama and Reiten, the area known as -tilting theory plays a fundamental role in contemporary representation theory. In this paper we explore a highe…
Higher homological algebra for one-point extensions of bipartite hereditary algebras and spectral graph theory
Karin M. Jacobsen, Mads Hustad Sandøy, Laertis Vaso
In this article we study higher homological properties of -levelled algebras and connect them to properties of the underlying graphs. Notably, to each -representation-finite…
A geometric model for semilinear locally gentle algebras
Esther Banaian, Raphael Bennett-Tennenhaus, Karin M. Jacobsen +1
We consider certain generalizations of gentle algebras that we call semilinear locally gentle algebras. These rings are examples of semilinear clannish algebras as introduced by th…
A characterisation of higher torsion classes
Jenny August, Johanne Haugland, Karin M. Jacobsen +3
Let be an abelian length category containing a -cluster tilting subcategory . We prove that a subcategory of is a -torsion class if a…
Admissible ideals for k-linear categories
Karin M. Jacobsen, Job D. Rock
We generalize the notion of an admissible ideal from path algebras to (small) k-linear categories that satisfy the Krull--Remak--Schmidt--Azumaya assumption. In our treatment we fi…
The role of gentle algebras in higher homological algebra
Johanne Haugland, Karin M. Jacobsen, Sibylle Schroll
We investigate the role of gentle algebras in higher homological algebra. In the first part of the paper, we show that if the module category of a gentle algebra contains a …
Infinite friezes and triangulations of annuli
Karin Baur, Ilke Canakci, Karin M. Jacobsen +2
It is known that any infinite frieze comes from a triangulation of an annulus by Baur, Parsons and Tschabold. In this paper we show that each periodic infinite frieze determines a…
Maximal -rigid pairs
Karin M. Jacobsen, Peter Jorgensen
Let be a -Calabi--Yau triangulated category, a cluster tilting object with endomorphism algebra . Consider the functor $\mathscr T( T,- ) : \mathscr T \right…
-abelian quotients of -angulated categories
Karin M. Jacobsen, Peter Jorgensen
Let be a triangulated category. If is a cluster tilting object and is the ideal of morphisms factoring through an object of $\oper…
Realizing orbit categories as stable module categories - a complete classification
Benedikte Grimeland, Karin M Jacobsen
We classify all triangulated orbit categories of path-algebras of Dynkin diagrams that are triangle equivalent to a stable module category of a representation-finite self-injective…
Abelian quotients of triangulated categories
Benedikte Grimeland, Karin Marie Jacobsen
We study abelian quotient categories A=T/J, where T is a triangulated category and J is an ideal of T. Under the assumption that the quotient functor is cohomological we show that…