27 citations · 30 across the 3 of their papers we have counts for
4 papers
Graded Lie-Rinehart algebras
Elisabete Barreiro, Antonio J. Calderón, Rosa M. Navarro +1
We introduce the class of graded Lie-Rinehart algebras as a natural generalization of the one of graded Lie algebras. For an abelian group, we show that if is a tight -g…
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…