SINGULAR RIEMANNIAN FOLIATIONS AND THEIR QUADRATIC BASIC POLYNOMIALS
SINGULAR RIEMANNIAN FOLIATIONS AND THEIR QUADRATIC BASIC POLYNOMIALS
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DOI：
10.1007/s00031-019-09516-9
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发表时间：
2016-11
影响因子：
0.7
通讯作者：
R. Mendes;M. Radeschi
中科院分区：
文献类型：
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作者：
R. Mendes;M. Radeschi
我们给出了无穷小奇异黎曼叶的不变理论与Jordan代数之间的一个新的联系。这与Weyl第一基本定理的非齐次版本一起，提供了最近发现的Clifford叶的基本多项式的特征。这一链接还产生了关于无穷小叶层的新的结构结果，例如非平凡对称性的存在。
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.