Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces

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Abraham Ungar (Professor of Mathematics at North Dakota State University) Abraham Ungar (Professor of Mathematics at North Dakota State University)

Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces

Abraham Ungar (Professor of Mathematics at North Dakota State University), Abraham Ungar (Professor of Mathematics at North Dakota State University), Abraham Ungar (Professor of Mathematics at North Dakota State University) , Abraham Ungar (Professor of Mathematics at North Dakota State University)

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English

Academic Press Inc
04 January 2018

Real analysis, real variables; Applied mathematics

Series: Mathematical Analysis and its Applications

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.

By: Abraham Ungar (Professor of Mathematics at North Dakota State University), Abraham Ungar (Professor of Mathematics at North Dakota State University), Abraham Ungar (Professor of Mathematics at North Dakota State University), Abraham Ungar (Professor of Mathematics at North Dakota State University)
Imprint: Academic Press Inc
Country of Publication: United States
Dimensions: Height: 234mm, Width: 191mm,
Weight: 450g
ISBN: 9780128117736
ISBN 10: 0128117737
Series: Mathematical Analysis and its Applications
Pages: 418
Publication Date: 04 January 2018
Audience: College/higher education , Further / Higher Education
Format: Paperback
Publisher's Status: Active

1. Lorentz Transformations of signature (m,n)2. Einstein Bi-gyrogroups of Order (m,n)3. Einstein Bi-gyrovector Spaces of Order (m,n)

Abraham Ungar (North Dakota State University, ND) is Professor of Mathematics at North Dakota State University. He specializes in the areas of linear algebra, geometry and physics. He has published seven books and over 100 papers, mostly in indexed journals.

Reviews for Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces

This monograph is a synthesis of the author's work on gyrogroups and gyrovector spaces (since 1988) as well as on their generalizations, the bi-gyrogroups and bi-gyrovector spaces. ...This very original but highly technical book starts with an interesting modelization of the Einstein addition of the velocities in the relativistic setting, by considering it as the (nonassociative) composition law of a special groupoid, called gyrogroup. --zbMATh