  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.
