We present a new link between the Invariant Theory of infinitesimal singular Riemannian foliations and Jordan algebras. This, together with an inhomogeneous version of Weyl's First Fundamental Theorems, provides a characterization of the recently discovered Clifford foliations in terms of basic polynomials. This link also yields new structural results about infinitesimal foliations, such as the existence of non-trivial symmetries.

中文翻译：

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黎曼奇异叶面及其二次基本多项式

我们提出了极小奇异黎曼叶面不变理论和约旦代数之间的新联系。这与Weyl的“第一基本定理”的不均匀版本一起，以基本多项式的形式描述了最近发现的Clifford叶面。此链接还产生有关无穷小叶的新结构结果，例如存在非平凡的对称性。