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 |
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