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Hochschild cohomology of twisted tensor products

Published 3 May 2020 in math.RA and math.RT | (2005.01087v1)

Abstract: For a tensor product of algebras twisted by a bicharacter, we completely describe its Hochschild cohomology, as a Gerstenhaber algebra, in terms of the Hochschild cohomology of its component parts. This description generalizes a result of Bergh and Oppermann. It allows us to significantly simplify various calculations in the literature, and to compute Hochschild cohomology for a number of new examples.

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