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.
On the adjoint map of homotopy abelian Dg-lie algebras / Iacono, Donatella; Manetti, Marco. - In: ARCHIVUM MATHEMATICUM. - ISSN 0044-8753. - 55:1(2019), pp. 7-15. [10.5817/AM2019-1-7]
On the adjoint map of homotopy abelian Dg-lie algebras
Manetti, Marco
2019
Abstract
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.File allegati a questo prodotto
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