Geodesic
Geometry of Cyclic and Anticylic Algebras
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 23-27 Cet article a éte moissonné depuis la source Czech Digital Mathematics Library

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The article deals with spaces the geometry of which is defined by cyclic and anticyclic algebras. Arbitrary multiplicative function is taken as a fundamental form. Motions are given as linear transformation preserving given multiplicative function.
The article deals with spaces the geometry of which is defined by cyclic and anticyclic algebras. Arbitrary multiplicative function is taken as a fundamental form. Motions are given as linear transformation preserving given multiplicative function.
Classification : 15A66, 53B30, 57R15
Keywords: Cyclic and anticyclic algebras; composition algebras; determinants of elements of linear algebras; multiplicative functions; groups of motions 
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     title = {Geometry of {Cyclic} and {Anticylic} {Algebras}},
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Burlakov, Igor M.; Jukl, Marek. Geometry of Cyclic and Anticylic Algebras. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 2, pp. 23-27. http://geodesic.mathdoc.fr/item/AUPO_2016_55_2_a2/