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arxiv: 1010.4660 · v2 · pith:AHYTVC2Knew · submitted 2010-10-22 · 🧮 math.RA

On I-null Lie algebras

classification 🧮 math.RA
keywords algebrasborelclassconsidercontainsdimensiondimensionalfinite
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We consider the class of Lie algebras for which the Koszul 3-form is zero, and prove that it contains all quotients of Borel subalgebras, or of their nilradicals, of finite dimensional semi-simple Lie algebras. A list of Kac-Moody types for indecomposable nilpotent Lie algebras of dimension at most 7 is given.

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