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Stability for socle-projective categories of type
Kostiantyn Iusenko, Gabriel Bravo Rios, Robinson-Julian Serna
We extend the notion of stability in the non-abelian category of poset representations (introduced by Futorny and Iusenko) to the category of socle-projective representations of a…
Brauer Configuration Algebras and Matrix Problems to Categorify Integer Sequences
Agustín Moreno Cañadas, Pedro Fernando Fernández Espinosa, Isaías David Marín Gaviria +1
Bijections between invariants associated to indecomposable projective modules over some suitable Brauer configuration algebras and invariants associated to solutions of the Kroneck…
Coxeter's Frieze Patterns Arising from Dyck Paths
Agustín Moreno Cañadas, Isaías David Marín Gaviria, Gabriel Bravo Rios +1
Frieze patterns are defined by objects of a category of Dyck paths, to do that, it is introduced the notion of diamond of Dynkin type An. Such diamonds constitute a tool to build i…
Dyck Paths Categories And Its Relationships With Cluster Algebras
Agustín Moreno Cañadas, Gabriel Bravo Ríos
Dyck paths categories are introduced as a combinatorial model of the category of representations of quivers of Dynkin type An. In particular, it is proved that there is a bijection…