Jenny August

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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

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

A characterisation of higher torsion classes

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