12 citations · 14 across the 7 of their papers we have counts for
9 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 Koszul algebras and the -condition
Johanne Haugland, Mads Hustad Sandøy
Determining when a finite dimensional algebra satisfies the finiteness property known as the -condition is of fundamental importance in the celebrated and influentia…
The category of extensions and idempotent completion
Raphael Bennett-Tennenhaus, Johanne Haugland, Mads Hustad Sandøy +1
Building on previous work, we study the splitting of idempotents in the category of extensions associated to a pair $(\mathcal{C},\math…
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…
The category of extensions and a characterisation of -exangulated functors
Raphael Bennett-Tennenhaus, Johanne Haugland, Mads Hustad Sandøy +1
Additive categories play a fundamental role in mathematics and related disciplines. Given an additive category equipped with a biadditive functor, one can construct its category of…
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 …
Higher Koszul duality and connections with -hereditary algebras
Johanne Haugland, Mads Hustad Sandøy
We establish a connection between two areas of independent interest in representation theory, namely Koszul duality and higher homological algebra. This is done through a generaliz…
The Grothendieck Group of an -exangulated Category
Johanne Haugland
We define the Grothendieck group of an -exangulated category. For odd, we show that this group shares many properties with the Grothendieck group of an exact or a triangulat…
Auslander-Reiten triangles and Grothendieck groups of triangulated categories
Johanne Haugland
We prove that if the Auslander-Reiten triangles generate the relations for the Grothendieck group of a Hom-finite Krull-Schmidt triangulated category with a (co)generator, then the…