Some noteworthy alternating trilinear forms
Abstract
Given an alternating trilinear form T on the V=Fn let LT denote the set of T-singular lines in the projective space PV. These are all lines <a,b> for which the linear form T(a,b,.) is identically zero. Amongst the immense profusion of different kinds of T we single out a few which we deem noteworthy by virtue of the special nature of their set LT.
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