10 papers
Representations of compatible Lie algebras
Xabier GarcÃa-MartÃnez, 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…
Further results on modularity in evolution algebras
Manuel Ladra, Andrés Pérez-RodrÃguez
In this paper, we study modularity in the context of evolution algebras. Although this property has been previously considered, a complete description is still missing in several n…
Schur's theorem and its relation to the closure properties of the non-abelian tensor product
Guram Donadze, Manuel Ladra, Pilar Páez-Guillán
We show that the Schur multiplier of a Noetherian group need not be finitely generated. We prove that the non-abelian tensor product of a polycyclic (resp. polycyclic-by-finite) gr…
Notes on Leibniz -algebras
José Manuel Casas, Emzar Khmaladze, Manuel Ladra
We analyze behaviors of generalized forgetful and Daletskii-Takhtajan's functors on perfect objects and crossed modules of Leibniz -algebras. Then we give applications to homolo…
HNN-extension of Lie superalgebras
Manuel Ladra, Pilar Páez-Guillán, Chia Zargeh
We construct HNN-extensions of Lie superalgebras and prove that every Lie superalgebra embeds into any of its HNN-extensions. Then as an application we show that any Lie superalgeb…
On a family of non-Volterra quadratic operators acting on a simplex
Uygun Jamilov, Manuel Ladra
In the present paper, we consider a convex combination of non-Volterra quadratic stochastic operators defined on a finite-dimensional simplex depending on a parameter and stud…