Threenumbers, which cube of norm is nondegenerate threeform 2004jap  Garas`ko G. I.
Arbitrary threeform can be put in a canonical form. The requirement of
existence of twoparametric Abelian Lie group to play the role of group of
symmetry for threeform admits selecting the threeforms that correspond to threenumbers and finding all the threenumbers which cube of norm is a nondegenerate threeform with respect to a special coordinate system. There are exactly two (up to isomorphism) such sets of hypercomplex numbers, namely the sets: C_{3}, H_{3}. They can be regarded as generalizations of complex and binary (hyperbolic) binumbers to the case of threenumbers.
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