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20012026
most citedQuantum cluster algebras and their specializations

19 citations · 52 across the 9 of their papers we have counts for

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11 papers

math.RT2026

On the additivity of projective presentations of maximal rank

Grzegorz Bobiński, Jan Schröer

We study projective presentations of finite-dimensional modules over finite-dimensional algebras. We discuss if projective presentations of maximal rank behave additively. More pre…

math.RT2025★ 1 cited

Generically -regular irreducible components of module varieties

Grzegorz Bobiński, Jan Schröer

In the representation theory of finite-dimensional algebras, the study of projective presentations of maximal rank is closely related to the study of generically -regular irredu…

math.RT2020★ 4 cited

Generic Caldero-Chapoton functions with coefficients and applications to surface cluster algebras

Christof Geiß, Daniel Labardini-Fragoso, Jan Schröer

We realize Derksen-Weyman-Zelevinsky's mutations of representations as densely-defined regular maps on representation spaces, and study the generic values of Caldero-Chapoton funct…

math.RT2018★ 19 cited

Quantum cluster algebras and their specializations

Christof Geiß, Bernard Leclerc, Jan Schröer

We show that in case a cluster algebra coincides with its upper cluster algebra and the cluster algebra admits a grading with finite dimensional homogeneous components, the corresp…

math.RT2018

Algebras with irreducible module varieties II: Two vertex case

Grzegorz Bobiński, Jan Schröer

We call a finite-dimensional K-algebra A geometrically irreducible if for all d all connected components of the affine scheme of d-dimensional A-modules are irreducible. We prove t…

math.RT2017

Algebras with irreducible module varieties I

Grzegorz Bobiński, Jan Schröer

We call a finite-dimensional K-algebra A geometrically irreducible if for all d, all connected components of the affine scheme of d-dimensional A-modules are irreducible. We show t…