Multiplicative representation of a hyperbolic non distributive algebra
type: Item
instance of: scholarly article
title: Multiplicative representation of a hyperbolic non distributive algebra
zbMATH Open document ID: 1321.17006
author: M. Fernández-Guasti
author: Felipe Zaldívar
published in: Advances in Applied Clifford Algebras
publication date: 2014-12-15T00:00:00Z
review text: 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.
reviewed by: Cristina Flaut
Mathematics Subject Classification ID: 17A99
Mathematics Subject Classification ID: 51M99
zbMATH DE Number: 6380693
zbMATH Keywords: polar representation
zbMATH Keywords: non-distributive algebras
zbMATH Keywords: hypercomplex numbers
MaRDI profile type: Publication
full work available at URL: s00006-014-0454-4
OpenAlex ID: W2121631885
cites work: Q3993060
cites work: Quaternion polar representation with a complex modulus and complex argument inspired by the Cayley-Dickson form.
cites work: A hyperbolic non distributive algebra in \(1+2\) dimensions
cites work: An elliptic non distributive algebra
cites work: Q4897828
cites work: Hyperbolic quaternion formulation of electromagnetism
cites work: Q5422498
cites work: An introduction to constant curvature spaces in the commutative (Segre) quaternion geometry
cites work: Two-dimensional geometries, topologies, trigonometries and physics generated by complex-type numbers
cites work: Q3233964
DOI: 10.1007/S00006-014-0454-4
description: scientific article; zbMATH DE number 6380693