In mathematics, the exterior algebra of a vector space V is a graded associative algebra, ∧ V = k ⊕ V ⊕ ∧ 2 V ⊕ ∧ 3 V ⊕ ⋯ {\displaystyle \wedge V=k\oplus V\oplus \wedge ^{2}V\oplus \wedge ^{3}V\oplus \cdots } The corresponding product ∧ on the exterior algebra ∧V is called the exterior product or wedge product. Wikipedia