Universität zu Köln

Mendes, R. A. E. and Radeschi, M. (2020). SINGULAR RIEMANNIAN FOLIATIONS AND THEIR QUADRATIC BASIC POLYNOMIALS. Transform. Groups, 25 (1). S. 251 - 278. NEW YORK: SPRINGER BIRKHAUSER. ISSN 1531-586X

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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.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Mendes, R. A. E. UNSPECIFIED UNSPECIFIED UNSPECIFIED Radeschi, M. UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-343467
DOI:	10.1007/s00031-019-09516-9
Journal or Publication Title:	Transform. Groups
Volume:	25
Number:	1
Page Range:	S. 251 - 278
Date:	2020
Publisher:	SPRINGER BIRKHAUSER
Place of Publication:	NEW YORK
ISSN:	1531-586X
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language CLIFFORD ALGEBRAS; REPRESENTATIONS Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/34346