2023-05-08   03910

Clifford Algebra, also called Geometric Algebra

This article introduces Clifford algebra, an associative algebra generated by vectors. Like the exterior algebra (article 81674), it includes objects representing k-dimensional subspaces for every k. Unlike the exterior algebra, though, Clifford algebra includes a scalar product of two vectors, like the one defined by the metric tensor at a given point in spacetime. For this reason, Clifford algebra is sometimes also called geometric algebra.

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www.cphysics.org updated 2024-07-11