Consideration of the Hopf maps from viewpoint of groups
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概要
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It 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).
- 2009-03-18
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