27 citations · 50 across the 14 of their papers we have counts for
16 papers
On split regular Hom-Lie superalgebras
Helena Albuquerque, Elisabete Barreiro, Antonio J. Calderón +1
We introduce the class of split regular Hom-Lie superalgebras as the natural extension of the one of split Hom-Lie algebras and Lie superalgebras, and study its structure by showin…
The determinant, spectral properties, and inverse of a tridiagonal -Toeplitz matrix over a commutative ring
Jose Brox, Helena Albuquerque
A square matrix is -Toeplitz if its diagonals are periodic sequences of period . We find universal formulas for the determinant, the characteristic polynomial, some eigenvect…
Poisson algebras and symmetric Leibniz bialgebra structures on oscillator Lie algebras
Helena Albuquerque, Elisabete Barreiro, Saïd Benayadi +2
Oscillator Lie algebras are the only non commutative solvable Lie algebras which carry a bi-invariant Lorentzian metric. In this paper, we determine all the Poisson structures, and…
Leibniz superalgebras with a set grading
Helena Albuquerque, Elisabete Barreiro, Antonio J. Calderón +1
Consider a Leibniz superalgebra additionally graded by an arbitrary set (set grading). We show that decomposes as the sum of well-described graded i…
Split Lie-Rinehart algebras
Helena Albuquerque, Elisabete Barreiro, Antonio J. Calderón +1
We introduce the class of split Lie-Rinehart algebras as the natural extension of the one of split Lie algebras. We show that if is a tight split Lie-Rinehart algebra over an a…
Leibniz triple systems admitting a multiplicative basis
Helena Albuquerque, Elisabete Barreiro, Antonio Jesús Calderon +1
Let be a Leibniz triple system of arbitrary dimension, over an arbitrary base field . A basis ${\mathcal B} = \{e_{i}\}_{i \i…