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arXiv · 1201.2674

Lie algebras with associative structures. Applications to the study of 2-step nilpotent Lie algebras

Michel Goze·Elisabeth Remm
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Abstract

We investigate Lie algebras whose Lie bracket is also an associative or cubic associative multiplication to characterize the class of nilpotent Lie algebras with a nilindex equal to 2 or 3. In particular we study the class of 2-step nilpotent Lie algebras, their deformations and we compute the cohomology which parametrize the deformations in this class.

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Michel Goze, Elisabeth Remm. 2013-10-08. Lie algebras with associative structures. Applications to the study of 2-step nilpotent Lie algebras. https://arxiv.org/abs/1201.2674

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