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arXiv · 1810.02901

The Hochschild cohomology of the enveloping algebra of a Lie-Rinehart pair

Francisco Kordon
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Abstract

Let $(S,L)$ be a Lie-Rinehart pair such that $L$ is $S$-projective and let $U$ be its universal enveloping algebra. The purpose of this paper is to present a spectral sequence which converges to the Hochschild cohomology of $U$ and whose second page involves the Lie-Rinehart cohomology of the pair and the Hochschild cohomology of $S$ with values on $U$.

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Francisco Kordon. 2020-06-03. The Hochschild cohomology of the enveloping algebra of a Lie-Rinehart pair. https://arxiv.org/abs/1810.02901

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