collaborators

6 papers

math.RT2020

On a deformation theory of finite dimensional modules over repetitive algebras

Adriana Fonce-Camacho, Hernán Giraldo, Pedro Rizzo +1

Let be a basic finite dimensional algebra over an algebraically closed field , and let be the repetitive algebra of . In this article, we prove that…

math.RT2020

Relations Between the Strong Global Dimension, Complexes of Fized Size and Derived Category

Y. Calderón-Henao, F. Gallego-Olaya, H. Giraldo

Let be the integer numbers, an algebraically closed field, a finite dimensional -algebra, mod the category of finitely generated right…

math.RT2020

Periodic String Complexes over String Algebras

Andrés Franco, Hernán Giraldo, Pedro Rizzo

In this paper we develop combinatorial techniques for the case of string algebras with the aim to give a characterization of string complexes with infinite minimal projective resol…

math.RT2019

String and band complexes over SAG algebras

Andrés Franco, Hernán Giraldo, Pedro Rizzo

We give a combinatorial description of a family of indecomposable objects in the bounded derived categories of a new class of algebras: string almost gentle algebras. These indecom…

math.RT2019

Derived tame Nakayama algebras

Viktor Bekkert, Hernan Giraldo, Jose A. Velez-Marulanda

We determine the derived representation type of Nakayama algebras and prove that a derived tame Nakayama algebra without simple projective module is gentle or derived equivalent to…

math.RT2019

On irreducible morphisms and Auslander-Reiten triangles in the stable category of modules over repetitive algebras

Yohny Calderón-Henao, Hernán Giraldo, José A. Vélez-Marulanda

Let be an algebraically closed field, let be a finite dimensional -algebra, and let be the repetitive algebra of . For the stable catego…