Groupoids

@article{Ibort2019Groupoids,
  title={Groupoids},
  author={Alberto Ibort and Michael A. Rodriguez},
  journal={An Introduction to Groups, Groupoids and Their Representations},
  year={2019}
}
This paper gives some new results for the theory of quantum groupoids. First, the authors recall the relevant notions and results of the theory of Li-Rinehart algebras and bialgebras. Then, they introduce some basics of the theory of bialgebroids. The examples of the universal enveloping agebras and jet spaces for Lie-Rinehart algebras are explicitly described. The quantum groupoids are then introduced. A suitable version of a quantum duality principle for quantum groupoids is also obtained… 
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115 Citations
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115 Citations

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