2 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 high…
math.RT2024
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…