Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces

This research monograph provides a novel, elegant and important parametric conceptualization of pseudo-rotations that crosses boundaries between algebra, geometry and physics

Abraham Ungar (Author)

9780128117736

Paperback, published 4 January 2018

418 pages
23.4 x 19 x 2.6 cm, 0.45 kg

"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

Approx.400 pages

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

Subject Areas: Applied mathematics [PBW]