Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces

Erscheinungsjahr 2018
ISBN: 978-0-12-811773-6
Verlag: Elsevier Science Publishing Co Inc

Buch, Englisch, 418 Seiten, Format (B × H): 235 mm x 192 mm, Gewicht: 848 g

Reihe: 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.

Zielgruppe

<p>Graduate students and exceptional undergraduate students and 1<SUP>st</SUP> year PhDs in hyperbolic and differential geometry, linear algebra, group theory and loop theory, and mathematical physicists. </p>

Autoren/Hrsg.

Ungar, Abraham

Fachgebiete

• Mathematik | Informatik Mathematik Geometrie Differentialgeometrie
• Mathematik | Informatik Mathematik Algebra Algebraische Strukturen, Gruppentheorie
• Mathematik | Informatik Mathematik Numerik und Wissenschaftliches Rechnen Angewandte Mathematik, Mathematische Modelle
• Mathematik | Informatik Mathematik Algebra Lineare und multilineare Algebra, Matrizentheorie

Inhaltsverzeichnis

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

Über Autor(innen)

Ungar, Abraham
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.