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The role of the conformal group in the theory of physics is emphasized for various reasons. The relation between this group and the group of transformations in six-dimensional pseudo-euclidean space is shown. And as an illustration the theory of the non-local field is viewed through a concept of conformal group and it is shown that though in this way one can obtain equations, which the internal wave function must satisfy, how to interpret them is yet open to question.
Yasuhisa Murai (Thu,) studied this question.