Please use this identifier to cite or link to this item: http://dx.doi.org/10.18419/opus-6953
Authors: Hähl, Hermann
Title: Eine Kennzeichnung der Oktavenebene
Issue Date: 1987
metadata.ubs.publikation.typ: Zeitschriftenartikel
metadata.ubs.publikation.source: Indagationes Mathematicae 49 (1987), S. 29-39
URI: http://nbn-resolving.de/urn:nbn:de:bsz:93-opus-41317
http://elib.uni-stuttgart.de/handle/11682/6970
http://dx.doi.org/10.18419/opus-6953
Abstract: We consider partitions of R 16 into pairwise complementary 8-dimensional subspaces whose union covers R 16 (or, equivalently, fiberings of S15 by great 7-spheres). It is shown that if such a partition is (globally) invariant by a closed subgroup of GL16(R) locally isomorphic to S07(IR, I), then it is linearly equivalent to the classical Hopf partition corresponding to the Cayley numbers O, namely the system of lines through the origin in the affine Cayley plane over O.
Appears in Collections:15 Fakultätsübergreifend / Sonstige Einrichtung

Files in This Item:
File Description SizeFormat 
hae20.pdf192,25 kBAdobe PDFView/Open


Items in OPUS are protected by copyright, with all rights reserved, unless otherwise indicated.