activity
20142023
most citedString and band complexes over SAG algebras

1 citations · 1 across the 8 of their papers we have counts for

collaborators

15 papers

math.RT2023

A partial classification of simple regular representations of bimodules type over

Hernán Giraldo, David Reynoso-Mercado, Pedro Rizzo

In this paper, we use Galois descent techniques to find suitable representatives of the regular simple representations of the species of type over $k_n := k[\varepsilon^{1/…

math.RT2023

Relations Between the Strong Global dimension, Complexes of Fixed Size and Derived Category

Yohny Calderón-Henao, Felipe Gallego-Olaya, Hernán Giraldo

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

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.RT2020

On Auslander-Reiten components of string complexes for a certain class of symmetric special biserial algebras

Hernán A. Giraldo, Ricardo Rueda-Robayo, José A. Vélez-Marulanda

Let be an algebraically closed field. In this article, inspired by the description of indecomposable objects in the derived category of a gentle algebra obtained by V.…

math.RT2019★ 1 cited

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…

math.RT2017

Universal Deformation Rings of Finitely Generated Gorenstein-Projective Modules over Finite Dimensional Algebras

Viktor Bekkert, Hernan Giraldo, Jose Velez-Marulanda

Let be a field of arbitrary characteristic, let be a finite dimensional -algebra, and let be a finitely generated -module. F. M. Bleher and the…

math-ph2016

Differential Galois Groups and Representation of Quivers for Seismic Models with Constant Hessian of Square of Slowness

Primitivo Acosta-Humánez, Hernán Giraldo, Carlos Piedrahita

The trajectory of energy is modeled by the solution of the Eikonal equation, which can be solved by solving a Hamiltonian system. This system is amenable of treatment from the poin…

math.RT2016

Shapes of Auslander-Reiten Triangles

Edson Ribeiro Alvares, Sônia Maria Fernandes, Hernán Giraldo

Our main theorem classifies the Auslander-Reiten triangles according to properties of the morphisms involved. As a consequence, we are able to compute the mapping cone of an irredu…

math.RT2016

On Singular Equivalences of Morita Type and Universal Deformation Rings for Gorenstein Algebras

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

Let be a finite-dimensional algebra over a fixed algebraically closed field of arbitrary characteristic, and let be a finitely generated -module. It follows…

math.RT2016

Universal deformation rings for a class of self-injective special biserial algebras

Johny Calderon-Henao, Hernan Giraldo, Ricardo Rueda-Robayo +1

Let be an algebraically closed field of arbitrary characteristic, let be a finite dimensional -algebra and let be a -module with stable endomorp…

math.DG2014

Flat Affine or Projective Geometries on Lie Groups

Alberto Medina, Omar Saldarriaga, Hernan Giraldo

This paper deals essentially with affine or projective transformations of Lie groups endowed with a flat left invariant affine or projective structure. These groups are called flat…