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Hochschild cohomology of a strongly homotopy commutative algebra |
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| Authors: | Bitjong Ndombol Y. Félix J.-C. Thomas |
| Affiliation: | 1. Faculté des Sciences, Université de Yaoundé, Yaoundé, Cameroon 2. Département de mathématique, Université Catholique de Louvain, 2, Chemin du Cyclotron, 1348, Louvain-La-Neuve, Belgium 3. Département de mathématique, Faculté des Sciences, 2, Boulevard Lavoisier, 49045, Angers, France |
| Abstract: | The Hochschild cohomology of a DG algebra A with coefficients in itself is, up to a suspension of degrees, a graded Lie algebra. The purpose of this paper is to prove that a certain DG Lie algebra of derivations appears as a finite codimensional graded sub Lie algebra of this Lie algebra when A is a strongly homotopy commutative algebra whose homology is concentrated in finitely many degrees. This result has interesting implications for the free the loop space homology which we explore here as well. |
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