35 citations · 62 across the 8 of their papers we have counts for
8 papers
A historical perspective of Tian's evolution algebras
Manuel Ceballos, Raúl Falcón, Juan Núñez-Valdés +1
Even if it has been less than a decade and a half since Tian introduced his concept of evolution algebras to represent algebraically non-Mendelian rules in Genetics, their study is…
Abelian subalgebras and ideals of maximal dimension in Zinbiel algebras
Manuel Ceballos, David A. Towers
In this paper, we compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional Zinbiel algebras. We study Zinbiel algebras containing maximal abelian suba…
Abelian subalgebras and ideals of maximal dimension in Leibniz algebras
Manuel Ceballos, David A. Towers
In this paper, we compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional Leibniz algebras. We study Leibniz algebras containing abelian subalgebras…
Filiform Lie algebras with low derived length
F. J. Castro-Jiménez, M. Ceballos, J. Núñez
We construct, for any integer n greater than or equal to 5, a family of complex filiform Lie algebras with derived length at most 3 and dimension n. We also give examples of n-dime…
Minimal Faithful Upper-Triangular Matrix Representations for Solvable Lie Algebras
Manuel Ceballos, Juan Núñez, Ángel F. Tenorio
A well-known result on Lie Theory states that every finite-dimensional complex solvable Lie algebra can be represented as a matrix Lie algebra, with upper-triangular square matrice…
Invariant complex structures on 6-nilmanifolds: classification, Frölicher spectral sequence and special Hermitian metrics
Manuel Ceballos, Antonio Otal, Luis Ugarte +1
We classify invariant complex structures on 6-dimensional nilmanifolds up to equivalence. As an application, the behaviour of the associated Frölicher sequence is studied as well a…
On abelian subalgebras and ideals of maximal dimension in supersolvable lie algebras
Manuel Ceballos, David A. Towers
In this paper, the main objective is to compare the abelian subalgebras and ideals of maximal dimension for finite-dimensional supersolvable Lie algebras. We characterise the maxim…
Abelian ideals of maximal dimension for solvable Lie algebras
Dietrich Burde, Manuel Ceballos
We compare the maximal dimension of abelian subalgebras and the maximal dimension of abelian ideals for finite-dimensional Lie algebras. We show that these dimensions coincide for…