Hopf algebroids and quantum groupoids

@article{Lu1995HopfAA,
  title={Hopf algebroids and quantum groupoids},
  author={J. Lu},
  journal={International Journal of Mathematics},
  year={1995},
  volume={07},
  pages={47-70}
}
  • J. Lu
  • Published 1995
  • Mathematics
  • International Journal of Mathematics
We introduce the notion of Hopf algebroids, in which neither the total algebras nor the base algebras are required to be commutative. We give a class of Hopf algebroids associated to module algebras of the Drinfeld doubles of Hopf algebras when the R-matrices act properly. When this construction is applied to quantum groups, we get examples of quantum groupoids, which have Poisson groupoids as their semi-classical limits. The example of quantum sl(2) is worked out in details. 
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4
5
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References

SHOWING 1-10 OF 12 REFERENCES
Moment maps at the quantum level
Théorie tannakienne non commutative
A note on quantum groupoids
Groupö ides quantiques
  • C. R. Acad. Sci. Paris
  • 1992
Groupöides quantiques C
  • R. Acad. Sci. Paris,
  • 1992
On almost cocommutative Hopf algebras
  • St. Petersburg Math. J
  • 1990
...
1
2
...