|
 Three-numbers, which cube of norm is nondegenerate three-form
2004jap | Garas`ko G. I.
Arbitrary three-form can be put in a canonical form. The requirement of
existence of two-parametric Abelian Lie group to play the role of group of
symmetry for three-form admits selecting the three-forms that correspond to three-numbers and finding all the three-numbers which cube of norm is a non-degenerate three-form with respect to a special coordinate system. There are exactly two (up to isomorphism) such sets of hypercomplex numbers, namely the sets: C3, H3. They can be regarded as generalizations of complex and binary (hyperbolic) bi-numbers to the case of three-numbers.
| English: |
|
Russian: |
 |
|
|
Посмотреть комментарии / View
comments
|
