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Gravity on Finite Groups

Leonardo Castellani

gr-qcarXiv:gr-qc/9909028

Abstract

Gravity theories are constructed on finite groups G. A self-consistent review of the differential calculi on finite G is given, with some new developments. The example of a bicovariant differential calculus on the nonabelian finite group S3 is treated in detail, and used to build a gravity-like field theory on S3.

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