Beyond Pseudo Rotations in Pseudo Euclidean Spaces
  • Release Date : 10 January 2018
  • Publisher : Academic Press
  • Categories : Mathematics
  • Pages : 418 pages
  • ISBN 13 : 9780128117743
  • ISBN 10 : 0128117745
Score: 4
From 245 Ratings

Synopsis : Beyond Pseudo Rotations in Pseudo Euclidean Spaces written by Abraham Ungar, published by Academic Press which was released on 10 January 2018. Download Beyond Pseudo Rotations in Pseudo Euclidean Spaces Books now! Available in PDF, EPUB, Mobi Format. 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. Introduces the study of generalized gyrogroups and gyrovector spaces Develops new algebraic structures, bi-gyrogroups and bi-gyrovector spaces Helps readers to surmount boundaries between algebra, geometry and physics Assists readers to parametrize and describe the full set of generalized Lorentz transformations in a geometric way Generalizes approaches from gyrogroups and gyrovector spaces to bi-gyrogroups and bi-gyrovector spaces with geometric entanglement