This chapter reviews the algebraic preliminaries on semi-Euclidean spaces and their subspaces which we need in the development of the book. Most of the material should be familar to the reader, but we stress with a quasi-orthonormal basis induced by degenerate subspaces, which some readers may find unfamiliar. In particular, we included the null tetrad formalism, used in relativity, the linear isometries of semi-Euclidean spaces and their semi-orthogonal groups.
KeywordsOrthonormal Basis Linear Isometry Complementary Subspace Lightlike Vector Null Tetrad
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