Complete Description of Invariant, Associative Pseudo-Euclidean Metrics on Left Leibniz Algebras via Quadratic Lie Algebras

Fatima-Ezzahrae Abid, Mohamed Boucetta

A pseudo-Euclidean non-associative algebra $(\mathfrak{g},\bullet )$ is a real algebra of finite dimension that has a metric, i.e., a bilinear, symmetric, and non-degenerate form $…