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math.RA2020★ 27 cited
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★ 1 cited
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…