This is a special case of the tensors as multilinear maps ).
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Multilinear maps and multilinear forms are fundamental objects of study in multilinear algebra.
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Multilinear maps can be described via tensor products of elements of " V " ".
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When described as multilinear maps, the tensor product simply multiplies the two tensors, i . e.
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A multilinear map of one variable is a linear map, and of two variables is a bilinear map.
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If the codomain of a multilinear map is the field of scalars, it is called a multilinear form.
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The bundle of differential forms, at each point, consists of all totally antisymmetric multilinear maps on the tangent space at that point.
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The transformation can be equally well applied to any of the vector spaces on which the multilinear map acts to give another distinct invariance.
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He received the best paper award in Asiacrypt 2008 for improving Pollard rho algorithm, and the best paper award in Eurocrypt 2015 for attacking Multilinear Maps.
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As in the case of tensor products of multilinear maps, the number of variables of their exterior product is the sum of the numbers of their variables.
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