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A remark on cohomology of nilpotent Lie algebras

Grigory Papayanov
Mar 2023
摘要
We prove that the cohomology algebra of a conilpotent Lie coalgebra isgenerated in degree 1 as an A-infinity algebra. By dualizing, the same is trueabout cohomology algebras of finite dimensional nilpotent Lie algebras. In theprocess, we provide a proof of the conilpotent version of the dualPoincare-Birkhoff-Witt theorem.
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