2022-01-16T23:19:16Zhttps://soar-ir.repo.nii.ac.jp/oaioai:soar-ir.repo.nii.ac.jp:000120032021-03-01T11:37:08ZConsideration of the Hopf maps from viewpoint of groupsHIROSE, Masumi36822MUKAI, Juno36823YOKOTA, Ichiro36824Hopf mapspinor groupIt is known that the real, cornplex and quaternionic Hopf maps are constructed by the canonical homomorphisms from SO(2) → SO(2), SU(2) → SO(3) and Sp(2) → SO(5), respectively. We write their proofs explicitly. We show that the Cayley Hopf map is also constructed by the canonical homomorphism Spin(9) → SO(9).ArticleJournal of the Faculty of Science Shinshu University. 42: 1-8(2009)departmental bulletin paperFaculty of Science, Shinshu University2009-03-18application/pdfJournal of the Faculty of Science Shinshu University42180583-063XAA00697923https://soar-ir.repo.nii.ac.jp/record/12003/files/Science42-01.pdfeng