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arXiv · 2303.09439

A remark on cohomology of nilpotent Lie algebras

Grigory Papayanov
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Abstract

We prove that the cohomology algebra of a conilpotent Lie coalgebra is generated in degree 1 as an A-infinity algebra. By dualizing, the same is true about cohomology algebras of finite dimensional nilpotent Lie algebras. In the process, we provide a proof of the conilpotent version of the dual Poincare-Birkhoff-Witt theorem.

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Grigory Papayanov. 2023-03-16. A remark on cohomology of nilpotent Lie algebras. https://arxiv.org/abs/2303.09439

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