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Super Yangian Y(osp(1|2)) and the Universal R-matrix of Its Quantum Double

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Abstract

We present the Drinfel'd realisation of the super Yangian Y(osp(1|2)), including the explicit expression for the coproduct. We show in particular that it is necessary to introduce supplementary Serre relations. The construction of its quantum double is carried out. This allows us to give the universal R-matrix of DY(osp(1|2)).

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Authors and Affiliations

  1. Laboratoire d'Annecy-le-Vieux de Physique Théorique, LAPTH, CNRS, Université de Savoie, UMR 5108, B.P. 110, 74941, Annecy-le-Vieux Cedex, France

    D. Arnaudon, N. Crampé, L. Frappat & E. Ragoucy

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  1. D. Arnaudon
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  2. N. Crampé
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  3. L. Frappat
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  4. E. Ragoucy
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L. Takhtajan

Member of Institut Universitaire de France

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Arnaudon, D., Crampé, N., Frappat, L. et al. Super Yangian Y(osp(1|2)) and the Universal R-matrix of Its Quantum Double. Commun. Math. Phys. 240, 31–51 (2003). https://doi.org/10.1007/s00220-003-0879-4

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  • DOI: https://doi.org/10.1007/s00220-003-0879-4

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