AGT - Artículos
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Tensor Product of Evolution Algebras
Cabrera-Casado, Yolanda
; Martin-Barquero, Dolores; Martin-Gonzalez, Candido; 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 ... -
Two-dimensional perfect evolution algebras over domains.
Cabrera-Casado, Yolanda; Martin-Barquero, Dolores; Martin-Gonzalez, Candido (Springer Nature, 2023-01-23)
We will study evolution algebras A that are free modules of dimension two over domains. We start by making some general considerations about algebras over domains: They are sandwiched between a certain essential D-submodule ... -
Groups as automorphisms of dessins d’enfants
Cañas Muñoz, Alejandro; Hidalgo, Rubén A.; Turiel-Sandín, Francisco Javier; Viruel-Arbaizar, Antonio Ángel (Springer, 2022-08-01)
It is known that every finite group can be represented as the full group of automorphisms of a suitable compact dessin d’enfant. In this paper, we give a constructive and easy proof that the same holds for any countable ... -
Classification of fiber sequences with a prescribed holonomy action
(Elsevier, 2022-08-01)We define H-fibration sequences as fibrations where the holonomy action of the fundamental group of the base on the fiber lies in a given subgroup H of E(F ), where E(F ) is the homotopy automorphism group of the fiber. ... -
Contact structures on null hypersurfaces
Atindogbé, Cyriaque; Gutiérrez-López, Manuel; Hounnonkpe, Raymond; Olea, Benjamín (Elsevier, 2022-08)
The aim of this paper is to show how we can induce contact structures, contact metric structures and Sasaki structures on a null hypersurface from a rigging vector field. We give several explicit examples of this construction ... -
Lie models of homotopy automorphism monoids and classifying fibrations
Félix, Yves; Fuentes Rumí, Mario; Murillo-Mas, Aniceto (Elsevier, 2022-06-25)
Given X a finite nilpotent simplicial set, consider the classifying fibrations X → B aut∗ G(X) → B autG(X) and X → Z → B aut∗ π (X) where G and π denote, respectively, subgroups of the free and pointed homotopy classes ... -
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 ...