Differential geometry of group lattices

@article{Dimakis2002DifferentialGO,
  title={Differential geometry of group lattices},
  author={Aristophanes Dimakis and Folkert Muller-Hoissen},
  journal={Journal of Mathematical Physics},
  year={2002},
  volume={44},
  pages={1781-1821}
}
In a series of publications we developed “differential geometry” on discrete sets based on concepts of noncommutative geometry. In particular, it turned out that first-order differential calculi (over the algebra of functions) on a discrete set are in bijective correspondence with digraph structures where the vertices are given by the elements of the set. A particular class of digraphs are Cayley graphs, also known as group lattices. They are determined by a discrete group G and a finite subset… 

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