Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces

Released on by Abraham Ungar
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  • Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces Book Detail

  • Author : Abraham Ungar
  • Release Date : 2018-01-10
  • Publisher : Academic Press
  • Genre : Mathematics
  • Pages : 420
  • ISBN 13 : 0128117745
  • File Size : 42,42 MB
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Beyond Pseudo-Rotations in Pseudo-Euclidean Spaces by Abraham Ungar PDF Summary

Book Description: 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

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The Russian edition of this book appeared in 1976 on the hundred-and-fiftieth anniversary of the historic day of February 23, 1826, when LobaeevskiI delivered h