A new invariant of quadratic Lie algebras

Published 21 May 2010 in math.RT | (1005.3970v2)

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 $\mathfrak{o}(n)$.

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