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From poisson groupoids to quantum groupoids and back

  • 2. Quantum Groups and Integrable Systems
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Differential Geometric Methods in Theoretical Physics

Part of the book series: Lecture Notes in Physics ((LNP,volume 375))

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Abstract

This talk reviews the basic definitions of Lie and Poisson groupoids and then proposes Lie Hopf Algebroids as a possible definition for “Quantum Groupoids” — objects which generalize quantum groups on the one hand, and have Poisson groupoids as their classical limits, on the other.

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References

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C. Bartocci U. Bruzzo R. Cianci

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© 1991 Springer-Verlag

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Mayer, M.E. (1991). From poisson groupoids to quantum groupoids and back. In: Bartocci, C., Bruzzo, U., Cianci, R. (eds) Differential Geometric Methods in Theoretical Physics. Lecture Notes in Physics, vol 375. Springer, Berlin, Heidelberg. https://doi.org/10.1007/3-540-53763-5_53

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  • DOI: https://doi.org/10.1007/3-540-53763-5_53

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  • Publisher Name: Springer, Berlin, Heidelberg

  • Print ISBN: 978-3-540-53763-2

  • Online ISBN: 978-3-540-47090-8

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