3 papers
math.RT2026
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…
math.RT2025
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…
math.CT2019
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…