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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 spacesDevelops new algebraic structures, bi-gyrogroups and bi-gyrovector spacesHelps readers to surmount boundaries between algebra, geometry and physicsAssists readers to parametrize and describe the full set of generalized Lorentz transformations in a geometric wayGeneralizes approaches from gyrogroups and gyrovector spaces to bi-gyrogroups and bi-gyrovector spaces with geometric entanglement


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Does the world make you sick? If the distractions and distortions around you, the jarring colors and sounds, could shake up the healing chemistry of your mind, might your...


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Unspoken Spaces is a richly illustrated journey through spheres, tunnels, towers, walkways and archways, as well as pavilions and larger buildings realized by artist Olafur...


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Quantum mechanics had been started with the theory of the hydrogen atom, so when considering the quantum mechanics in Riemannian spaces it is natural to turn first to just...


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An important locus for English-speaking writers, the region of Tuscany is also well represented in the Italian literary canon. In Tuscan Spaces, Silvia Ross focuses on...


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How did gender figure in understandings of spatial realms, from the inner spaces of the body to the furthest reaches of the globe? How did women situate themselves in the...


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