Peter Jørgensen

activity

20032026

most citedIntermediate co-t-structures, two-term silting objects, tau-tilting modules, and torsion classes

51 citations · 264 across the 70 of their papers we have counts for

collaborators

Showing 2017Show all

5 papers · 1 filter

math.RT2017★ 21 cited

$d$ -abelian quotients of $(d + 2)$ -angulated categories

Karin M. Jacobsen, Peter Jorgensen

Let $T$ be a triangulated category. If $T$ is a cluster tilting object and $I = [add T]$ is the ideal of morphisms factoring through an object of $\oper…

math.RT2017

Cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type $A_{\infty}$

Sira Gratz, Thorsten Holm, Peter Jorgensen

We give a combinatorial classification of cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type $A_{\infty}$ .

math.RA2017★ 1 cited

$c$ -vectors of 2-Calabi--Yau categories and Borel subalgebras of $sl_{\infty}$

Peter Jorgensen, Milen Yakimov

We develop a general framework for $c$ -vectors of 2-Calabi--Yau categories, which deals with cluster tilting subcategories that are not reachable from each other and contain infini…

math.CO2017

A $p$ -angulated generalisation of Conway and Coxeter's theorem on frieze patterns

Thorsten Holm, Peter Jorgensen

Coxeter defined the notion of frieze pattern, and Conway and Coxeter proved that triangulations of polygons are in bijection with integral frieze patterns. We show a $p$ -angulated…

math.RT2017★ 5 cited

Wide subcategories of $d$ -cluster tilting subcategories

Martin Herschend, Peter Jorgensen, Laertis Vaso

A subcategory of an abelian category is wide if it is closed under sums, summands, kernels, cokernels, and extensions. Wide subcategories provide a significant interface between re…

d-abelian quotients of (d+2)-angulated categories

Cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type A∞​

c-vectors of 2-Calabi--Yau categories and Borel subalgebras of sl∞​

A p-angulated generalisation of Conway and Coxeter's theorem on frieze patterns

Wide subcategories of d-cluster tilting subcategories

$d$ -abelian quotients of $(d + 2)$ -angulated categories

Cluster tilting subcategories and torsion pairs in Igusa--Todorov cluster categories of Dynkin type $A_{\infty}$

$c$ -vectors of 2-Calabi--Yau categories and Borel subalgebras of $sl_{\infty}$

A $p$ -angulated generalisation of Conway and Coxeter's theorem on frieze patterns

Wide subcategories of $d$ -cluster tilting subcategories