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Combinatorial classification of piecewise hereditary algebras
(De Gruyter, 2011-01)
We use the characteristic polynomial of the Coxeter matrix of an algebra to complete the combinatorial classification of piecewise hereditary algebras which Happel gave in terms of the trace of the Coxeter matrix. We also ...
Right-angled Coxeter groups, universal graphs, and Eulerian polynomials
(Academic Press, 2020)
Cocientes de matroides de Schubert
(Universidad de los AndesMatemáticasFacultad de CienciasDepartamento de Matemáticas, 2023-05-31)
Las matroides son una generalización de la noción de independencia de álgebra lineal. En este texto estudiamos un tipo de matroides llamadas "matroides de caminos reticulares". Este tipo de matroides poseen algunas ...
Emergent Features in Rational Ehrhart Quasi-Polynomials
(Universidad de los AndesMatemáticasFacultad de CienciasDepartamento de Matemáticas, 2022-11-28)
Ehrhart Theory presents a tool for the study of integer dilations of integral polytopes (convex polytopes whose vertices all have integer coordinates) via an associated polynomial in the dilation factor. This is then ...
Marching Along A Regular Surface/surface Intersection With Circular Steps
(Elsevier Science B.V., Amsterdam, Netherlands, 1999)
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 ...