Listar Álgebra, Geometría y Topología - (AGT) por título
Mostrando ítems 114-133 de 140
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Squares and associative representations of two dimensional evolution algebras
Cardoso Gonçalves, Maria Inez; Gonçalves, Daniel; Martín-Barquero, Dolores
; Martín-González, Cándido; Siles-Molina, Mercedes (World Scientific, 2021)
We associate an square to any two dimensional evolution algebra. This geomet- ric object is uniquely determined, does not depend on the basis and describes the structure and the behaviour of the algebra. We determine the ... -
Subvariedades atrapadas en el cono de luz
(2020-02-14)El concepto de superficie atrapada fue formulado orginalmente por Penrose en 1965 para el caso de superficies espaciales bidimensionales en espaciotiempos tetradimensionales, en términos de los signos o de la anulación de ... -
Superficies de curvatura no positiva en la esfera tridimensional.
(2024)Demostraremos que toda esfera analítica bidimensional $S$ inmersa en $S^3$, con curvaturas principales $k_1,k_2$ cumpliendo que $k_1 k_2\leq 0$ debe ser totalmente umbilical. Esto mejora algunos resultados bien conocidos ... -
Superficies mínimas: viejos problemas y nuevos avances
(2018-10-18)Haremos un recorrido por los principales problemas abiertos de la teoría clásica de superficies mínimas en el espacio euclídeo tridimensional, y cuáles son los últimos resultados en este campo. -
Tensor Product of Evolution Algebras
Cabrera-Casado, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido; Tocino-Sánchez, Alicia (Springer Nature, 2022-12-28)
The starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that, under certain conditions, the tensor product is an evolution algebra if and ... -
Tensor product of evolution algebras.
Cabrera-Casado, Yolanda; Martín-Barquero, Dolores; Martín-González, Cándido; Tocino-Sánchez, Alicia (SpringerLink, 2022-12-28)
The starting point of this work is the fact that the class of evolution algebras over a fixed field is closed under tensor product. We prove that, under certain conditions, the tensor product is an evolution algebra if and ... -
Un teorema fundamental de hipersuperficies en espacios alabeados semi-Riemannianos
(2014-03-27)Obtenemos condiciones necesarias y suficientes para que una variedad semi-Riemanniana admita una inmersión isométrica local en ciertos productos alabeados. -
Teoría de Hopf Galois: Introducción y enfoque aritmético
(2018-10-05)La teoría de Hopf Galois es una generalización de la teoría de Galois usando álgebras de Hopf, y surge en 1969 de la mano de S. U. Chase y M. E. Sweedler, con la idea de reemplazar el grupo de Galois de una extensión de ... -
Ternary mappings of triangular algebras
Martín-Barquero, Dolores; Martín-González, Cándido; Sánchez-Ortega, Juana; Vandeyar, Morgan (SpringerLink, Aequationes Mathematicae, 2021-03)
We take acategorical approach to describe ternary derivations and ternary automorphisms of triangular algebras. New classes of automorphisms and derivations of triangular algebras are also introduced and studied. -
The Achievement Set of Generalized Multigeometric Sequences
Karvatskyi, Dmytro; Murillo-Mas, Aniceto; Viruel-Arbaizar, Antonio Ángel (Springer, 2024-04-13)
We study the topology of all possible subsums of the generalized multigeometric series where are fixed positive real numbers and f runs along a certain class of non-negative functions on the unit interval. We detect ... -
The center and the Lie structure of a Leavitt path algebra
Siles-Molina, Mercedes (2017-06-30)
Este es el curso que impartí en la Escuela de investigación "CIMPA School Recent trends in non-commutative algebra" en junio de 2017 en Pune, India (véase https://iiserpunecimpa17.wordpress.com/) -
The center and the Lie structure of a Leavitt path algebra
Siles-Molina, Mercedes (2015-10-29)
These notes contain all the explanations and references corresponding to the course I delivered during the first CIMPA research school in Panama in October 2015 (see the complete program of the school here: http://cimpa. ... -
The Exceptional Lie algebra G_2.
Draper-Fontanals, Cristina (2023)
The Killing-Cartan classification of finite-dimensional complex simple Lie algebras was one of the great milestones of 19th-century mathematics. According to it, there are four infinite families of classical simple Lie ... -
The kernel of the Gysin homomorphism for Chow groups of zero cycles.
(2023)Let S be a smooth projective surface over a field k, and let C be a smooth hyperplane section of S. For a closed embedding of S into a projective space P consider the linear system Σ of hyperplane sections and the ... -
The lattice of ideals in the Steinberg algebra of a strongly effective groupoid
(2023-07-05)A topological groupoid is generalization of topological group where the binary operation is only partially defined. Ample groupoids are a special class of topological groupoid that have an especially well behaved topology. ... -
The Milnor-Moore theorem for L∞ algebras in rational homotopy theory
Moreno-Fernández, José Manuel (Springer, 2021-09-20)
We give a construction of the universal enveloping A∞ algebra of a given L∞ algebra, alternative to the already existing versions. As applications, we derive a higher homotopy algebras version of the classical Milnor-Moore ... -
The Talented monoid of a graph and its connections with the Leavitt path algebra
(2022)In this talk, we introduce an algebraic entity arising from a directed graph - the talented monoid. The talented monoid has an interesting relationship with the Leavitt path algebra. In fact, the group completion of the ... -
¿Tiene sexo la mente?
(2014-05-13)La respuesta obvia es: NO. Pero entonces ¿por qué no aparecen mujeres en la historia de la ciencia? Si revisamos la historia con otros ojos, encontramos que las mujeres han tenido papeles muy relevantes en la ciencia y la ... -
Topological restrictions in Lorentzian geometry: a survey
(2020-03-09)It is well know that globally hyperbolic solutions (M,g) of the Einstein field equations in general relativity may have initial data Cauchy hypersurfaces with any topology. However, some restrictions on the fundamental ... -
The topology and geometry of the space of null geodesics
(2020-02-14)This talk will provide a general introduction to the space of null geodesics. I will begin with a discussion of the case of Minkowski space, a special case with a great deal of structure. After this, I will move on ...