51 citations · 264 across the 70 of their papers we have counts for
73 papers
Splitting torsion classes in higher homological algebra
Erlend D. Børve, Peter Jorgensen, Mads Hustad Sandøy
Let be an integer, a suitable -abelian category. There is a notion of higher torsion classes in , also known as -torsion classes. W…
A brief introduction to the -shaped derived category
Henrik Holm, Peter Jorgensen
A chain complex can be viewed as a representation of a certain quiver with relations, . The vertices are the integers, there is an arrow $q \xrightarrow{} q…
Weak friezes and frieze pattern determinants
Thorsten Holm, Peter Jorgensen
Frieze patterns have been introduced by Coxeter in the 1970's and have recently attracted renewed interest due to their close connection with Fomin-Zelevinsky's cluster algebras. F…
The -shaped derived category of a ring -- compact and perfect objects
Henrik Holm, Peter Jorgensen
In a previous work we constructed the -shaped derived category of any ring for any suitably nice category . The -shaped derived category of , which is denoted by $\…
The index with respect to a rigid subcategory of a triangulated category
Peter Jørgensen, Amit Shah
Palu defined the index with respect to a cluster tilting object in a suitable triangulated category, in order to better understand the Caldero-Chapoton map that exhibits the connec…
Proper abelian subcategories of triangulated categories and their tilting theory
Peter Jorgensen
In the theory of triangulated categories, we propose to replace hearts of -structures by proper abelian subcategories, which may be plentiful even when hearts are not. For insta…