Beyond pseudo-rotations in pseudo-Euclidean spaces 1st Edition

Beyond pseudo-rotations in pseudo-Euclidean spaces 1st Edition – Ebook Instant Download/Delivery ISBN(s): 9780128117736,0128117737,9780128117743, 0128117745

Product details:

• ISBN-10: 0128117745
• ISBN-13: 9780128117743
• Author: Abraham Ungar

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.

Table contents:

Chapter 1: Introduction

Chapter 2: Einstein Gyrogroups

Chapter 3: Einstein Gyrovector Spaces

Chapter 4: Bi-gyrogroups and Bi-gyrovector Spaces – P

Chapter 5: Bi-gyrogroups and Bi-gyrovector Spaces – V

Chapter 6: Applications to Time-Space of Signature (m,n)

Chapter 7: Analytic Bi-hyperbolic Geometry: The Geometry of Bi-gyrovector Spaces

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