2 citations · 2 across the 5 of their papers we have counts for
10 papers
Representations of compatible Lie algebras
Xabier García-Martínez, Manuel Ladra, Bernardo Leite da Cunha +1
We study compatible Lie algebras from algebraic and representation-theoretic points of view, obtaining counterexamples to some fundamental theorems from classical Lie algebra theor…
Non-isomorphic restricted Lie algebras with isomorphic restricted enveloping algebras
Xabier García-Martínez
Let be a prime. For every field of characteristic we exhibit pairs of non-isomorphic finite-dimensional -nilpotent restricted Lie algebras and over whose…
On some properties of -centroids of Leibniz algebras
José Manuel Casas, Xabier García-Martínez, Natalia Pachego-Rego
We study some properties on -centroids related to central -derivations, generalized -derivations and almost inner -derivatio…
Actor of a crossed module of dialgebras via tetramultipliers
José Manuel Casas, Rafael Fernández-Casado, Xabier García-Martínez +1
We study the representability of actions in the category of crossed modules of dialgebras via tetramultipliers. We deduce a pair of dialgebras in order to construct an object which…
On the capablility of Hom-Lie algebras
José Manuel Casas, Xabier García-Martínez
A Hom-Lie algebra is said to be capable if there exists a Hom-Lie algebra such that . We obtain a characterisation of capable Hom-Lie algebras…
Some generalisations of Schur's and Baer's theorem and their connection with homological algebra
Guram Donadze, Xabier García-Martínez
Schur's Theorem and its generalisation, Baer's Theorem, are distinguished results in group theory, connecting the upper central quotients with the lower central series. The aim of…