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- W2775563755 abstract "As is well known, for every orthogonal transformation of the Euclidean space there exists an orthogonal basis such that the matrix of the transformation is block-diagonal with first order blocks ±1 and second order blocks that are rotations of the Euclidean plane. There exists a natural generalization of this theorem for Lorentz transformations of pseudo-Euclidean spaces with signature ( 1 , n − 1 ) . In addition to invariant subspaces appearing in the Euclidean case, Lorentz transformations can have invariant subspaces of two new types: invariant plane with the Lorenz rotation and 3-dimensional cyclic subspace with isotropic eigenvector and eigenvalue ±1. In this paper, we present similar results about the structure of isomorphisms of pseudo-Euclidean spaces with signature ( p , n − p ) for p = 2 , 3 ." @default.
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- W2775563755 date "2018-03-01" @default.
- W2775563755 modified "2023-10-14" @default.
- W2775563755 title "On isomorphisms of pseudo-Euclidean spaces with signature (p,n−p) for p= 2,3" @default.
- W2775563755 cites W2030012983 @default.
- W2775563755 doi "https://doi.org/10.1016/j.laa.2017.12.003" @default.
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