Noncommutative Differential Geometry and Classical Field Theory on Finite Groups

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Plan of this report is given below: 1. Motivation from Physical and Mathematical Point of View; 2. Differential Calculi on Finite Groups; 3. Metrics; 4. Lagrangian Field Theory and Symplectic Structure; 5. Scalar Field Theory and Spectral of Finite Groups.
LaTeX, 15 pages, with amssymb.sty; no figures or tables. Based on the report on the Seminar "Field Theory, Gravity and Symplectic Structure" [China Center of Advanced Science and Technology (CCAST) & World Laboratory (WL), Beijing, July 9th to July 13rd, 2001]

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