Definitions for "Multivector"
Keywords:  cdots, grassman, ell, lambda, algebra
In a Grassman algebra, a multivector is an element of a vector space V. A k-multivector is a k-fold product v_1\wedge\cdots\wedge v_k, where \wedge denotes wedge product and the k-th exterior power, \Lambda^k(V), is the vector space of formal sums of k-multivectors. The product of a k-multivector and an \ell-multivector is a (k+\ell)-multivector.