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Universal central extensions of Lie-Rinehart algebras
(World Scientific, 2018-07)
In this paper, we study the universal central extension of a Lie-Rinehart algebra and we give a description of it. Then we study the lifting of automorphisms and derivations to central extensions. We also give a definition ...
Propriedades de fecho e condições de finitude para o produto tensorial não abeliano de grupos
(Programa de Pós-Graduação em MatemáticaCentro de Ciências Exatas, 2021)
Finite-Dimensional Representations of Hyper Loop Algebras over Non-algebraically Closed Fields
(SpringerDordrechtHolanda, 2010)
Some homotopical aspects of de Rham theory
(Medellín - Ciencias - Doctorado en Ciencias - MatemáticasEscuela de matemáticasUniversidad Nacional de Colombia - Sede Medellín, 2020-07-01)
El estudio de las propiedades topológicas de las variedades suaves desde el punto de vista de formas diferenciales y de las ecuaciones que dichas formas satisfacen es conocido como teoría de de-Rham. Invariantes topológicos ...
Symbiosis between quantum physics and machine learning: Applications in data science, many-body physics and quantum computation
(Universidad Nacional de ColombiaBogotá - Ciencias - Doctorado en Ciencias - FísicaFacultad de CienciasBogotá, ColombiaUniversidad Nacional de Colombia - Sede Bogotá, 2022-12-01)
This thesis explores the intersections between quantum computing, quantum physics and machine learning. In the three fields, estimating probability distributions plays a central role. In the case of quantum computing and ...