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arXiv · 2608.01797

Theory of extension of commutative poisson algebra

Neeraj Kumar Maurya·Deepak Pal·Sumit Kumar Upadhyay
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Abstract

In this paper, we develop the extension theory of commutative Poisson algebras. Specifically, we define the second cohomology of a commutative Poisson algebra $K$ with coefficients in an abelian Poisson algebra $H$. We then establish a natural bijective correspondence between this cohomology group and the set of equivalence classes of a special type of extensions.

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Neeraj Kumar Maurya, Deepak Pal, Sumit Kumar Upadhyay. 2026-08-03. Theory of extension of commutative poisson algebra. https://arxiv.org/abs/2608.01797

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