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arXiv · 0812.4312

Duality and products in algebraic (co)homology theories

Niels Kowalzig·Ulrich Kraehmer
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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.

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Niels Kowalzig, Ulrich Kraehmer. 2009-04-07. Duality and products in algebraic (co)homology theories. https://arxiv.org/abs/0812.4312

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