Beyond pseudo-rotations in pseudo-euclidean spaces : an introduction to the theory of bi-gyrogroups and bi-gyrovector spaces /

Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces presents for the first time a unified study of the Lorentz transformation group SO(m, n) of signature (m, n), m, n? N, which is fully analogous to the Lorentz group SO(1, 3) of Einstein's special theory of relativity. It is based on a novel par...

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Bibliographic Details
Main Author: Ungar, Abraham A. (Author)
Corporate Author: ScienceDirect (Online service)
Format: eBook
Language:English
Published: London, United Kingdom : Academic Press, an imprint of Elsevier, [2018]
Series:Mathematical analysis and its applications.
Subjects:
Online Access:Connect to the full text of this electronic book
Description
Summary:Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces presents for the first time a unified study of the Lorentz transformation group SO(m, n) of signature (m, n), m, n? N, which is fully analogous to the Lorentz group SO(1, 3) of Einstein's special theory of relativity. It is based on a novel parametric realization of pseudo-rotations by a vector-like parameter with two orientation parameters. The book is of interest to specialized researchers in the areas of algebra, geometry and mathematical physics, containing new results that suggest further exploration in these areas.
Physical Description:1 online resource
Bibliography:Includes bibliographical references and index.
ISBN:9780128117743
0128117745
0128117737
9780128117736