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Algorithms of differentiation for posets with an involution
(Universidad Nacional de ColombiaBogotá - Ciencias - Doctorado en Ciencias - MatemáticasDepartamento de MatemáticasFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2021-07)
En las últimas décadas, el estudio y clasificación de álgebras de dimensión finita con respecto a su tipo de representación ha sido uno de los principales objetivos en la teoría de representaciones de álgebras. Nazarova, ...
Algebraic properties of weak quantum symmetries
(Universidad Nacional de ColombiaBogotá - Ciencias - Doctorado en Ciencias - MatemáticasFacultad de CienciasBogotá,ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2023-07-24)
This thesis investigates the properties of weak bialgebras and weak Hopf algebras, their (co)representations, and applications in groupoids, path algebras, and Lie algebroids. The research employs algebraic and categorical ...
Some combinatorial topics in representation theory of algebras and its applications
(Departamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-02)
This thesis deals with a range of questions in combinatorial aspects of the representation theory of algebras and its applications. In particular, we provide a solution to the following problems:
1. How is it possible ...
The Auslander-Reiten Quiver of Equipped Posets of Finite Growth Representation Type, some Functorial Descriptions and Its Applications
(Bogotá - Ciencias - Doctorado en Ciencias - MatemáticasDepartamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-05-18)
The theory of representation of partially ordered sets or posets was introduced in the early 1970's as an effort to give an answer to the second Brauer-Thrall conjecture. Recall that one of the main goals of this theory ...