Representations of classical groups on the lattice and its application to the field theory on discrete space-time

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We explore the mathematical consequences of the assumption of a discrete space-time. The fundamental laws of physics have to be translated into the language of discrete mathematics. We find integral transformations that leave the lattice of any dimension invariant and apply these transformations to field equations.
Proceedings: B. Gruber, ed. Symmetries in Science VI (Plenum, N. York 1993) pp. 437-454. TeX, 18 pages (late submission)

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