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

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.

References in corpus (4)

• Resolutions of mesh algebras: periodicity and Calabi-Yau dimensions
• Stable Calabi--Yau dimension of self-injective algebras of finite type
• On Tate duality and a projective scalar property for symmetric algebras
• The negative side of cohomology for Calabi-Yau categories