5 papers
On the Number of Exceptional Pairs Over a Class of Nakayama Algebras
Pedro Fernando Fernández Espinosa, David Reynoso-Mercado
In this paper some combinatorial and homological tools are used to describe and give an explicit formula for the number of exceptional pairs (exceptional sequences of length two) f…
Standard automorphisms of semisimple Lie algebras and their relations
David Reynoso-Mercado
Let be the simple Lie algebra of square matrices with zero trace. There are certain relations concerning standard automorphisms that are consider…
UMP Monomial Algebras: Combinatorial and Homological Consequences
Jhony Caranguay-Mainguez, Andrés Franco, David Reynoso-Mercado +1
In this paper, we apply the techniques developed in [5] to present several consequences of studying UMP algebras and the ramifications graph of a monomial bound quiver algebra. Spe…
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/…
About UMP algebras and a special classification case
Jhony F. Caranguay-Mainguez, Andrés Franco, David Reynoso-Mercado +1
The class of UMP algebras arises in several classification problems in the context of derived categories of finite-dimensional algebras. In this paper we define the class of UMP al…