Duality and products in algebraic (co)homology theories

Abstract

The origin and interplay of products and dualities in algebraic (co)homology theories is ascribed to a ${\times }_A$-Hopf algebra structure on the relevant universal enveloping algebra. This provides a unified treatment for example of results by Van den Bergh about Hochschild (co)homology and by Huebschmann about Lie-Rinehart (co)homology.

References in corpus (4)

• Calabi-Yau algebras
• On the universal enveloping algebra of a Lie-Rinehart algebra
• The Van den Bergh duality and the modular symmetry of a Poisson variety
• The universal Hopf algebra associated with a Hopf-Lie-Rinehart algebra

Cited by in corpus (1)

• On the Hochschild (co)homology of Quantum Homogeneous Spaces