Isoparametric triple systems of FKM-type. II
type: Item
instance of: scholarly article
title: Isoparametric triple systems of FKM-type. II
zbMATH Open document ID: 0531.53049
DOI: 10.1007/BF01169095
published in: Manuscripta Mathematica
publication date: 1983-01-01T00:00:00Z
full work available at URL: https://eudml.org/doc/154942
review text: This paper is a continuation of the paper reviewed above. It serves a threefold purpose. First the FKM-triples of ''algebra type'' are classified. This result forms an essential part in the proof of the fact that the isoparametric hypersurfaces of ''algebra type'' do not contain new examples. Second, it is described to what extend the Clifford sphere of an FKM-triple is determined by the triple product. This result will be used in a subsequent paper (settling several open questions concerning the homogeneity of the focal manifolds). Third, the automorphism group of an FKM-triple is described. Also this is an important prerequisite for the following third part.
Mathematics Subject Classification ID: 53C42
Mathematics Subject Classification ID: 17A40
zbMATH DE Number: 3842678
zbMATH Keywords: isoparametric triple systems
zbMATH Keywords: isoparametric hypersurfaces
author: Josef F. Dorfmeister
author: Erhard Neher
MaRDI profile type: Publication
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description: scientific article; zbMATH DE number 3842678