Geodesic
Symmetric Hochschild cohomology of twisted group algebras
Homology, homotopy, and applications, Tome 24 (2022) no. 1, pp. 93-115.

Voir la notice de l'article provenant de la source International Press of Boston

We show that there is an action of the symmetric group on the Hochschild cochain complex of a twisted group algebra with coefficients in a bimodule. This allows us to define the symmetric Hochschild cohomology of twisted group algebras, similarly to Staic’s construction of symmetric group cohomology.We give explicit embeddings and connecting homomorphisms between the symmetric cohomology spaces and symmetric Hochschild cohomology of twisted group algebras.
DOI : 10.4310/HHA.2022.v24.n1.a5
Classification : 16E40, 20J06
Keywords: Hochschild cohomology, symmetric group, group cohomology, connecting homomorphism, twisted group algebra 
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     title = {Symmetric {Hochschild} cohomology of twisted group algebras},
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     url = {http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n1.a5/}
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Tiberiu Coconeţ; Constantin-Cosmin Todea. Symmetric Hochschild cohomology of twisted group algebras. Homology, homotopy, and applications, Tome 24 (2022) no. 1, pp. 93-115. doi : 10.4310/HHA.2022.v24.n1.a5. http://geodesic.mathdoc.fr/articles/10.4310/HHA.2022.v24.n1.a5/

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