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    Top-dimensional Form

    Definition

    In an exterior algebra ⋀V, a top-dimensional form has degree n where n = dim V. Any form of higher degree must be zero. For example, if V = R^4 then α = e_1 ⋀e_2 ⋀e_3 ⋀e_4 is a top-dimensional form, and any other top-dimensional form is λα for some λ.

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