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Article

Iacono, Donatella ; Manetti, Marco
On the adjoint map of homotopy abelian DG-Lie algebras. (English). Archivum Mathematicum, vol. 55 (2019), issue 1, pp. 7-15
MSC: 17B70, 18G55 | MR 3939059 | Zbl 07088753 | DOI: 10.5817/AM2019-1-7
Keywords:
differential graded Lie algebras; adjoint map; cofibrant resolutions
Summary:
We prove that a differential graded Lie algebra is homotopy abelian if its adjoint map into its cochain complex of derivations is trivial in cohomology. The converse is true for cofibrant algebras and false in general.
References:
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