Abstract
In [3], B. Iversen constructs an item he calls the linear determinant, ld, which turns out to be a linear functional on the symmetry class of completely symmetric n-tensors over the vector space of n-square matrices over a field R. That is, if M, (R) denotes the totality of n-square matrices over R and M~ ") (R) is the symmetry class of completely symmetric tensors of degree n over M, (R) then ldE (M~ ") (R))* and has the property that the image of any symmetric power of an .4 ~ M~ (R) is det (A), i.e.,
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