Multiplicative representation of a hyperbolic non distributive algebra
Starting from some known results, in which the polar representation of complex numbers was extended to hyperbolic numbers (see \textit{I. L. Kantor} and \textit{A. S. Solodovnikov} [Hypercomplex numbers. An elementary introduction to algebras. New York etc.: Springer-Verlag (1989; Zbl 0669.17001)]) and to complex quaternions (see \textit{S. J. Sangwine} and \textit{N. Le Bihan} [Adv. Appl. Clifford Algebr. 20, No. 1, 111--120 (2010; Zbl 1223.16005)]), in this paper, the authors present the polar representation of hyperbolic scators in \(n+1\) dimensions and give a geometrical interpretation of the addition and product operations.
scientific article; zbMATH DE number 6380693
scientific article