Karin M. Jacobsen

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math.RT2026

Higher torsion classes, $I ¨ _{d}$ -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 $I ¨ $ -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 SandÃ¸y, Laertis Vaso

In this article we study higher homological properties of $n$ -levelled algebras and connect them to properties of the underlying graphs. Notably, to each $2$ -representation-finite…

math.RT2024

A characterisation of higher torsion classes

Jenny August, Johanne Haugland, Karin M. Jacobsen +3

Let $A$ be an abelian length category containing a $d$ -cluster tilting subcategory $M$ . We prove that a subcategory of $M$ is a $d$ -torsion class if a…

Higher torsion classes, I¨d​-tilting theory and silting complexes

Higher homological algebra for one-point extensions of bipartite hereditary algebras and spectral graph theory

A characterisation of higher torsion classes

Higher torsion classes, $I ¨ _{d}$ -tilting theory and silting complexes