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The action of the Nakayama automorphism of a Frobenius algebra on Hochschild cohomology (2502.04546v1)
Published 6 Feb 2025 in math.KT and math.RA
Abstract: We prove that the Nakayama automorphism of a Frobenius algebra acts trivially on the Hochschild cohomology of the algebra. As an application of this fact, we show how to construct certain invariants attached to such algebras, and to their automorphisms and derivations.