Quaternions and Biquaternions: Algebra, Geometry and Physical Theories

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dc.creatorYefremov, A. P.
dc.date2005-01-21
dc.date.accessioned2026-07-07T04:31:50Z
dc.date.available2026-07-07T04:31:50Z
dc.descriptionThe review of modern study of algebraic, geometric and differential properties of quaternionic (Q) numbers with their applications. Traditional and "tensor" formulation of Q-units with their possible representations are discussed and groups of Q-units transformations leaving Q-multiplication rule form-invariant are determined. A series of mathematical and physical applications is offered, among them use of Q-triads as a moveable frame, analysis of Q-spaces families, Q-formulation of Newtonian mechanics in arbitrary rotating frames, and realization of a Q-Relativity model comprising all effects of Special Relativity and admitting description of kinematics of non-inertial motion. A list of "Quaternionic Coincidences" is presented revealing surprising interconnection between basic relations of some physical theories and Q-numbers mathematics.
dc.description17 pages
dc.identifierhttps://arxiv.org/abs/math-ph/0501055
dc.identifierhttp://arxiv.org/abs/math-ph/0501055
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/57962
dc.subjectMathematical Physics
dc.titleQuaternions and Biquaternions: Algebra, Geometry and Physical Theories
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