Homotopy Lie algebra

id: homotopy-lie-algebra-197-16942963
title: Homotopy Lie algebra
text: In mathematics, in particular abstract algebra and topology, a homotopy Lie algebra is a generalisation of the concept of a differential graded Lie algebra. To be a little more specific, the Jacobi identity only holds up to homotopy. Therefore, a differential graded Lie algebra can be seen as a homotopy Lie algebra where the Jacobi identity holds on the nose. These homotopy algebras are useful in classifying deformation problems over characteristic 0 in deformation theory because deformation fun
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original url: https://en.wikipedia.org/wiki/Homotopy_Lie_algebra
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date modified: 2023-01-26T15:07:13Z
main entity: {"identifier":"Q42614797","url":"https://www.wikidata.org/entity/Q42614797"}
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