A remark on cohomology of nilpotent Lie algebras

Published 16 Mar 2023 in math.RT, math.AT, and math.KT | (2303.09439v1)

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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Authors (1)

Grigory Papayanov

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