Tate Duality and Transfer for Symmetric Algebras Over Complete Discrete Valuation Rings

Published 25 Oct 2023 in math.RT and math.RA | (2310.16666v1)

Abstract: We show that dualising transfer maps in Hochschild cohomology of symmetric algebras over complete discrete valuations rings commutes with Tate duality. This is analogous to a similar result for Tate cohomology of symmetric algebras over fields. We interpret both results in the broader context of Calabi-Yau triangulated categories.

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Markus Linckelmann

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