Survey of Hopf fibrations and rotation conventions in mathematics and physics

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dc.creatorLyons, David W.
dc.date2008-08-22
dc.date2008-09-11
dc.date.accessioned2026-07-07T10:01:54Z
dc.date.available2026-07-07T10:01:54Z
dc.descriptionWe present a unifying framework for understanding several different versions of the Hopf fibration, and use this framework to reconcile two methods of representing rotations of 3-space by unitary matrices--the mathematician's convention based on quaternion algebra, and the physicist's convention based on the Bloch sphere.
dc.description8 pages, revised 11 September 2008, new introduction, reference added, some notation change for consistency and clarity, expanded appendix
dc.identifierhttps://arxiv.org/abs/0808.3089
dc.identifierhttp://arxiv.org/abs/0808.3089
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/168789
dc.subjectMathematical Physics
dc.subject15A90; 22E70
dc.titleSurvey of Hopf fibrations and rotation conventions in mathematics and physics
dc.typetext

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