[PDF][PDF] Relative cluster categories and Higgs categories with infinite-dimensional morphism spaces

B Keller, Y Wu - arXiv preprint arXiv:2307.12279, 2023 - webusers.imj-prg.fr
Cluster algebras with coefficients are important since they appear in nature as coordinate
algebras of varieties like Grassmannians, double Bruhat cells, unipotent cells,···. The …

Extriangulated ideal quotients, with applications to cluster theory and gentle algebras

X Fang, M Gorsky, Y Palu, PG Plamondon… - arXiv preprint arXiv …, 2023 - arxiv.org
We extend results of Br\" ustle-Yang on ideal quotients of 2-term subcategories of perfect
derived categories of non-positive dg algebras to a relative setting. We find a new …

Relative cluster categories and Higgs categories with infinite-dimensional morphism spaces

C Fraser, B Keller, Y Wu - arXiv preprint arXiv:2307.12279, 2023 - arxiv.org
Cluster algebras* with coefficients* are important since they appear in nature as coordinate
algebras of varieties like Grassmannians, double Bruhat cells, unipotent cells,.... The …