The Inner Products of Geometric Algebra
Making derived products out of the geometric product requires care in consistency. We show how a split based on outer product and scalar product necessitates a slightly different inner product than usual. We demonstrate the use and geometric significance of this contraction, and show how it simplifies treatment of meet and join. We also derive the sufficient condition for covariance of expressions involving outer and inner products.
KeywordsBilinear Form Clifford Algebra Relative Grade Geometric Algebra Scalar Part
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