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arXiv · q-alg/9712006

Twist Deformation of the rank one Lie Superalgebra

E. Celeghini·P. P. Kulish
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Abstract

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 $SL_ξ(2)$ as subalgebra and Grassmann generators as well.

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BibTeXRIS

E. Celeghini, P. P. Kulish. 1997-12-01. Twist Deformation of the rank one Lie Superalgebra. https://doi.org/10.1088/0305-4470%2F31%2F4%2F001

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