Properties of spaces associated with commutativeassociative H_{3} and H_{4} algebras 2004jau  Lebedev S. V.
In the first part of this work a real axis of the space associated with
the H_{3} algebra and the lines parallel to this axis are interpreted as the world lines of resting particles; surface of simultaneity is used for introduction of a distance between the real axis and a line parallel thereto. The coordinate system similar to a polar one can be introduced on this surface
such that this allows us to reveal its simplest invariant transformations. In
the second part of this paper the Lorentz transformations in form of special kind of rotations in the space associated with H_{4} algebra are presented.
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