Quantum groupoids associated to universal dynamical R-matrices

Ping Xu

doi:10.1016/S0764-4442(99)80219-5

Quantum groupoids associated to universal dynamical R-matrices

Quantum Algebra 2009-10-31 v1 Symplectic Geometry

Authors: Ping Xu

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Abstract

By using twist construction, we obtain a quantum groupoid $\cald\ot_{q}\uqg$ for any simple Lie algebra $\frakg$ . The underlying Hopf algebroid structure encodes all the information of the corresponding elliptic quantum group-the quasi-Hopf algebras as obtained by Fronsdal, Arnaudon et. al. and Jimbo et. al..

Keywords

quantum groups hopf algebras lie groupoids and algebroids

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@article{arxiv.math/9811172,
  title  = {Quantum groupoids associated to universal dynamical R-matrices},
  author = {Ping Xu},
  journal= {arXiv preprint arXiv:math/9811172},
  year   = {2009}
}

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7 pages, LaTex file. C. R. Acad. Sci. Paris, Serie I (to appear)

Quantum groupoids associated to universal dynamical R-matrices

Abstract

Keywords

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