most citedDyck Paths Categories And Its Relationships With Cluster Algebras

1 citations · 1 across the 4 of their papers we have counts for

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5 papers

math.RT2021

Relationships Between Mutations of Brauer Configuration Algebras and Some Diophantine Equations

Agustín Moreno Cañadas, Juan David Camacho, Isaías David Marín Gaviria

Mutations on Brauer configurations are introduced and associated with some suitable automata in order to solve generalizations of the Chicken McNugget problem. Besides, based on ma…

math.RT2021

Homological Ideals as Integer Specializations of Some Brauer Configuration Algebras

Pedro Fernando Fernández Espinosa, Agustín Moreno Cañadas

In this paper homological ideals associated to some Nakayama algebras are characterized and enumerated via integer specializations of some suitable Brauer configuration algebras. B…

math.RT2021

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…

math.RT2021

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…

math.RT20211 cited

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…