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math.RT2023
Reduction of Frobenius extriangulated categories
Eleonore Faber, Bethany Rose Marsh, Matthew Pressland
We describe a reduction technique for stably 2-Calabi--Yau Frobenius extriangulated categories with respect to a functorially finite rigid subcategory .…
math.RT2023
Extriangulated ideal quotients, with applications to cluster theory and gentle algebras
Xin Fang, Mikhail Gorsky, Yann Palu +2
We extend results of Brüstle-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 interpre…
math.CO2023
Quasi-coincidence of cluster structures on positroid varieties
Matthew Pressland
By work of a number of authors, beginning with Scott and culminating with Galashin and Lam, the coordinate rings of positroid varieties in the Grassmannian carry cluster algebra st…