Tate Duality and Transfer for Symmetric Algebras Over Complete Discrete Valuation Rings
Representation Theory
2025-08-13 v1 Rings and Algebras
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.
Keywords
Cite
@article{arxiv.2310.16666,
title = {Tate Duality and Transfer for Symmetric Algebras Over Complete Discrete Valuation Rings},
author = {Markus Linckelmann},
journal= {arXiv preprint arXiv:2310.16666},
year = {2025}
}