3 papers
math.RA2020
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…
math.RA2020
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…
math.RA2017
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…