On quadratic and nonquadratic forms: Application to nonbijective R^{2m} -> R^{2m-n} transformations

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dc.creatorKibler, Maurice
dc.date1996-12-02
dc.date.accessioned2026-07-07T09:12:56Z
dc.date.available2026-07-07T09:12:56Z
dc.descriptionHurwitz transformations are defined as specific automorphisms of a Cayley-Dickson algebra. These transformations generate quadratic and nonquadratic forms. We investigate here the Hurwitz transformations corresponding to Cayley-Dickson algebras of dimensions 2m = 2, 4 and 8. The Hurwitz transformations which lead to quadratic forms are discussed from geometrical and Lie-algebraic points of view. Applications to number theory and dynamical systems are briefly examined.
dc.description14 pages, Tex File. Work presented both to the Symposium ``Symmetries in Science IX'' (Bregenz, Austria, 6-10 August 1996) and to the Symposium ``III Catalan Days on Applied Mathematics'' (Lleida, Spain, 27-29 November 1996)
dc.identifierhttps://arxiv.org/abs/dg-ga/9612002
dc.identifierhttp://arxiv.org/abs/dg-ga/9612002
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152189
dc.subjectDifferential Geometry
dc.subjectMathematical Physics
dc.subjectQuantum Physics
dc.titleOn quadratic and nonquadratic forms: Application to nonbijective R^{2m} -> R^{2m-n} transformations
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