13 citations · 14 across the 6 of their papers we have counts for
8 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…
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…
Cluster structures for the singularity
Jenny August, Man-Wai Cheung, Eleonore Faber +2
We study a category of -graded MCM modules over the curve singularity and demonstrate it has infinite type cluster combinatorics. In part…
Silting and Tilting for Weakly Symmetric Algebras
Jenny August, Alex Dugas
If A is a finite-dimensional symmetric algebra, then it is well-known that the only silting complexes in are the tilting complexes. In this note we i…
Categories for Grassmannian cluster algebras of infinite rank
Jenny August, Man-Wai Cheung, Eleonore Faber +2
We construct Grassmannian categories of infinite rank, providing an infinite analogue of the Grassmannian cluster categories introduced by Jensen, King, and Su. Each Grassmannian c…
Stability conditions for contraction algebras
Jenny August, Michael Wemyss
This paper gives a description of the full space of Bridgeland stability conditions on the bounded derived category of a contraction algebra associated to a 3-fold flop. The main r…
The Tilting Theory of Contraction Algebras
Jenny August
To every minimal model of a complete local isolated cDV singularity Donovan--Wemyss associate a finite dimensional symmetric algebra known as the contraction algebra. We construct…
On the Finiteness of the Derived Equivalence Classes of some Stable Endomorphism Rings
Jenny August
We prove that the stable endomorphism rings of rigid objects in a suitable Frobenius category have only finitely many basic algebras in their derived equivalence class and that the…