Super-jordanian deformation of the orthosymplectic Lie superalgebras

Abstract

The recently proposed jordanian quantization of the Lie superalgebra $osp(1|2)$ due to the embedding $sl(2)\subset osp(1|2)$, is extended including odd generators into the twisting element $\mathcal{F}$. This deformation is obtained as a contraction of the quantum superalgebra ${\mathcal{U}}_q(osp(1|2))$.

9 pages, LaTeX