Date:  2023-05-08

Article ID:  03910

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.