Groupoides quantiques associés à des R-matrices dynamiques universelles

Translated title of the contribution: Quantum groupoids associated to universal dynamical R-matrices

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Abstract

By using twist construction, we obtain a quantum groupoid D ⊗q Uqg for any simple Lie algebra g. 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.

Translated title of the contributionQuantum groupoids associated to universal dynamical R-matrices
Original languageFrench
Pages (from-to)327-332
Number of pages6
JournalComptes Rendus de l'Academie des Sciences - Series I: Mathematics
Volume328
Issue number4
DOIs
StatePublished - Feb 1999

All Science Journal Classification (ASJC) codes

  • Mathematics(all)

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