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math.KT2026
The Serre--Hochschild plane of a finite-dimensional algebra
Marco Armenta
For a finite-dimensional algebra over a field we organize the Hochschild cohomology of with coefficients in all derived tensor powers of the Serre bimodule $ω=\D A$ into a…
math.KT2018
Batalin-Vilkovisky structure on Hochschild cohomology with coefficients in the dual algebra
Marco Armenta, Samuel Leblanc
We prove that Hochschild cohomology with coefficients in $A^*=\Hom_k(A,k)$ under conditions on the algebra structure of is a Batalin-Vilkovisky algebra. We also show that for…