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.
SINGULAR RIEMANNIAN FOLIATIONS AND THEIR QUADRATIC BASIC POLYNOMIALS
Radeschi M.
2020-01-01
Abstract
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.
File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
MENDES-RADESCHI2020_Article_SINGULARRIEMANNIANFOLIATIONSAN.pdf
Accesso aperto
Dimensione
353.39 kB
Formato
Adobe PDF
|
353.39 kB | Adobe PDF | Visualizza/Apri |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
