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Showing 2012 · math.RTShow all
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math.RT2012
Standard components of a Krull-Schmidt category
Shiping Liu, Charles Paquette
We provide criteria for an Auslander-Reiten component having sections of a Krull-Schmidt category to be standard. Specializing to the category of finitely presented representations…
math.RT2012★ 5 cited
On Maximal Green Sequences
Thomas Brüstle, Grégoire Dupont, Matthieu Pérotin
Maximal green sequences are particular sequences of quiver mutations appearing in the context of quantum dilogarithm identities and supersymmetric gauge theory. Interpreting maxima…
math.RT2012
Modules over cluster-tilted algebras determined by their dimension vectors
Ibrahim Assem, Grégoire Dupont
We prove that indecomposable transjective modules over cluster-tilted algebras are uniquely determined by their dimension vectors. Similarly, we prove that for cluster-concealed al…