Formal Definitions and Algebraic Properties
The exterior algebra Λ(V) over a vector space V over a field K is defined as the quotient algebra of the tensor algebra by the two-sided ideal I generated by all elements of the form x ⊗ x such that x ∈ V. Symbolically,
The exterior product ∧ of two elements of Λ(V) is defined by
Read more about this topic: Exterior Algebra
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