Duality and products in algebraic (co)homology theories

Mathematics – Quantum Algebra

Scientific paper

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Scientific paper

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.

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