%0 Journal Article
%T Twist Deformation of the rank one Lie Superalgebra
%A E. Celeghini
%A P. P. Kulish
%J Mathematics
%D 1997
%I arXiv
%R 10.1088/0305-4470/31/4/001
%X The Drinfeld twist is applyed to deforme the rank one orthosymplectic Lie superalgebra $osp(1|2)$. The twist element is the same as for the $sl(2)$ Lie algebra due to the embedding of the $sl(2)$ into the superalgebra $osp(1|2)$. The R-matrix has the direct sum structure in the irreducible representations of $osp(1|2)$. The dual quantum group is defined using the FRT-formalism. It includes the Jordanian quantum group $SL_\xi(2)$ as subalgebra and Grassmann generators as well.
%U http://arxiv.org/abs/q-alg/9712006v1