Coconeț, T. & Todea, C.C. (2022) Homology, Homotopy and Applications [Matematică, Q2]

Publicat: 12 Iulie 2023

Coconeț, T. & Todea, C.C. (2022) Symmetric Hochschild cohomology of twisted group algebras. Homology, Homotopy and Applications, 24(1), 93-115.

DOI: https://dx.doi.org/10.4310/HHA.2022.v24.n1.a5

✓ Publisher: International Press Boston
✓ Categories: Mathematics, Applied; Mathematics
✓ Article Influence Score (AIS): 0.673 (2022) / Q2

Abstract: 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.

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