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arXiv · 2106.14331

Vector fields invariant under a linear action of a compact Lie group

Richard Cushman
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Abstract

This note shows that the module of smooth vector fields on ${\mathbb{R}}^n$, which are invariant under the linear action of a compact Lie group $G$ is finitely generated by polynomial vector fields on ${\mathbb{R}}^n$ which are invariant under the action of $G$.

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Richard Cushman. 2021-06-27. Vector fields invariant under a linear action of a compact Lie group. https://arxiv.org/abs/2106.14331

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