Symbolic computations over the algebra of coquaternions

Coquaternions, introduced by Sir James Cockle in 1849, form a four dimensional real algebra generalizing complex numbers. In recent years one can observe an emerging interest among mathematicians and physicists on the study of these numbers. In this work we present a Mathematica package for implemen...

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Bibliographic Details
Main Author: Falcão, M. I. (author)
Other Authors: Miranda, Fernando (author), Severino, Ricardo (author), Soares, M. J. (author)
Format: conferencePaper
Language:por
Published: 2019
Subjects:
Online Access:http://hdl.handle.net/1822/72278
Country:Portugal
Oai:oai:repositorium.sdum.uminho.pt:1822/72278
Description
Summary:Coquaternions, introduced by Sir James Cockle in 1849, form a four dimensional real algebra generalizing complex numbers. In recent years one can observe an emerging interest among mathematicians and physicists on the study of these numbers. In this work we present a Mathematica package for implementing the algebra of coquaternions. This package provides the basic mathematical tools necessary for manipulating coquaternions and coquaternionic polynomials, reflecting, in its present form, the recent interests of the authors in the area.