Geodesic
On the adjoint map of homotopy abelian DG-Lie algebras
Archivum mathematicum, Tome 55 (2019) no. 1, pp. 7-15.

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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.
DOI : 10.5817/AM2019-1-7
Classification : 17B70, 18G55
Keywords: differential graded Lie algebras; adjoint map; cofibrant resolutions 
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Iacono, Donatella; Manetti, Marco. On the adjoint map of homotopy abelian DG-Lie algebras. Archivum mathematicum, Tome 55 (2019) no. 1, pp. 7-15. doi : 10.5817/AM2019-1-7. http://geodesic.mathdoc.fr/articles/10.5817/AM2019-1-7/

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