$ω$-Lie algebras

Mathematics – Rings and Algebras

Scientific paper

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v2: added theorem about simple algebras and a new section about identities; fixed reasonings proving nonexistence of 4-dimensi

Scientific paper

10.1016/j.geomphys.2010.03.005

We study a certain generalization of Lie algebras where the Jacobian of three
elements does not vanish but is equal to an expression depending on a
skew-symmetric bilinear form.

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