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

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

2002-09-13

arxiv.org/abs/math/0209167v1

Commun. Math. Phys. 240 (2003) 31

Mathematics

Quantum Algebra

Latex2e, 21 pages

Scientific paper

10.1007/s00220-003-0879-4

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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