Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries

  title={Clifford Geometric Algebras in Multilinear Algebra and Non-Euclidean Geometries},
  author={G. Sobczyk},
Given a quadratic form on a vector space, the geometric algebra of the corresponding pseudo-euclidean space is defined in terms of a simple set of rules which characterizes the geometric product of vectors. We develop geometric algebra in such a way that it augments, but remains fully compatible with, the more traditional tools of matrix algebra. Indeed, matrix multiplication arises naturally from the geometric multiplication of vectors by introducing a spectral basis of mutually annihiliating… Expand

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