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Non-commutative differential calculus of some algebras of polynomial type having PBW bases
(Bogotá - Ciencias - Maestría en Ciencias - MatemáticasDepartamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-06-12)
In this work, we study the notion of differential calculus associated to an associative algebra, from its origin in manifolds geometry, to some generalizations in non commutative differential geometry. In particular, we ...
A view toward the geometry of normalizing sequences in finitely semi-graded algebras
(Bogotá - Ciencias - Maestría en Ciencias - MatemáticasDepartamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-05-15)
En este trabajo vemos el comportamiento de la sucesión normalizadora en
álgebras semi-graduadas. Primero, definimos la sucesión regular y el complejo de Koszul
en el caso conmutativo. Usando la variedad de ideales máximos, ...
Modelos descritos por equações diferenciais ordinárias
(Universidade Estadual Paulista (UNESP), 2014)
Slope fields
(Wolfram Demonstration Project, 2016)
Horn growth in 2D
(Wolfram demonstrations project, 2016)
One-loop superstring amplitude from integrals on pure spinors space
(Springer, 2014)
Zariski cancellation problem for skew PBW extensions
(Bogotá - Ciencias - Doctorado en Ciencias - MatemáticasDepartamento de MatemáticasUniversidad Nacional de Colombia - Sede Bogotá, 2020-06-19)
A special question for noncommutative algebras is Zariski cancellation problem. In this thesis we establish cancellation for some special classes of algebras such as skew PBW extensions, some Artin--Schelter regular algebras ...
Resistências e contribuições em relação a uma proposta de trabalho para o ensino de álgebra elementar, junto a alunos da educação de jovens e adultos
(Universidade Estadual Paulista (UNESP), 2014)
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 ...
Exotic dark spinor fields
(Springer, 2014)