Super Yangian Y(osp(1|2)) and the Universal R-matrix of its Quantum Double
Quantum Algebra
2009-11-07 v1 Mathematical Physics
math.MP
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)).
Keywords
Cite
@article{arxiv.math/0209167,
title = {Super Yangian Y(osp(1|2)) and the Universal R-matrix of its Quantum Double},
author = {D. Arnaudon and N. Crampe' and L. Frappat and E. Ragoucy},
journal= {arXiv preprint arXiv:math/0209167},
year = {2009}
}
Comments
Latex2e, 21 pages