Multivector
In multilinear algebra, a multivector, sometimes called Clifford number or multor, is an element of the exterior algebra Λ(V) of a vector space V. This algebra is graded, associative and alternating, and consists of linear combinations of simple k-vectors (also known as decomposable k-vectors or k-blades) of the form v 1 ∧ ⋯ ∧ v k , {\displaystyle v_{1}\wedge \cdots \wedge v_{k},} where v 1 , … , v k {\displaystyle v_{1},\ldots ,v_{k}} are in V. A k-vector is such a linear combination that is homogeneous of degree k (all terms are k-blades for the same k). Depending on the authors, a "multivector" may be either a k-vector or any element of the exterior algebra (any linear combination of k-blades with potentially differing values of k).