Geodesic
Hypercomplex Algebras and Geometry of Spaces with Fundamental Formof an Arbitrary Order
Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 1, pp. 31-38

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The article is devoted to a generalization of Clifford and Grassmann algebras for the case of vector spaces over the field of complex numbers. The geometric interpretation of such generalizations are presented. Multieuclidean geometry is considered as well as the importance of it in physics.
Classification : 15A66, 53B30, 57R15
Keywords: Hypercomplex algebras; geometry of spaces with fundamental form; Clifford algebras 
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Burlakov, Mikhail P.; Burlakov, Igor M.; Jukl, Marek. Hypercomplex Algebras and Geometry of Spaces with Fundamental Formof an Arbitrary Order. Acta Universitatis Palackianae Olomucensis. Facultas Rerum Naturalium. Mathematica, Tome 55 (2016) no. 1, pp. 31-38. http://geodesic.mathdoc.fr/item/AUPO_2016__55_1_a4/