Quantum groupoids associated to universal dynamical R-matrices

Details Quantum groupoids associated to universal dynamical R-matrices Quantum groupoids associated to universal dynamical R-matrices

1998-11-30

arxiv.org/abs/math/9811172v1

Mathematics

Quantum Algebra

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

Scientific paper

10.1016/S0764-4442(99)80219-5

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..

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