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arXiv · 1005.3970

A new invariant of quadratic Lie algebras

Duong Minh Thanh·Georges Pinczon·Rosane Ushirobira
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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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Duong Minh Thanh, Georges Pinczon, Rosane Ushirobira. 2010-05-28. A new invariant of quadratic Lie algebras. https://arxiv.org/abs/1005.3970

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