A new invariant of quadratic Lie algebras

Abstract

We define a new invariant of quadratic Lie algebras and give a complete study and classification of singular quadratic Lie algebras, i.e. those for which the invariant does not vanish. The classification is related to $\mathrm{O}(n)$-adjoint orbits in $\mathfrak{o}(n)$.

Cited by in corpus (1)

• Jordanian double extensions of a quadratic vector space and symmetric Novikov algebras