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arXiv · 2512.00604

The Lie algebra of polynomial vector fields on the affine space is $2$-generated

Ivan Beldiev
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Abstract

We prove that the infinite-dimensional Lie algebra of polynomial vector fields on the affine space $\KK^n$ is generated by two explicitly given elements.

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Ivan Beldiev. 2025-11-29. The Lie algebra of polynomial vector fields on the affine space is $2$-generated. https://arxiv.org/abs/2512.00604

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