Non-commutative geometry of finite groups

@article{Bresser1996NoncommutativeGO,
  title={Non-commutative geometry of finite groups},
  author={K. Bresser and Aristophanes Dimakis and Folkert Mueller-Hoissen and Andrzej Sitarz},
  journal={Journal of Physics A},
  year={1996},
  volume={29},
  pages={2705-2735}
}
A finite set can be supplied with a group structure which can then be used to select (classes of) differential calculi on it via the notions of left-, right- and bicovariance. A corresponding framework has been developed by Woronowicz, more generally for Hopf algebras including quantum groups. A differential calculus is regarded as the most basic structure needed for the introduction of further geometric notions like linear connections and, moreover, for the formulation of field theories and… Expand

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