dorsal/arxiv
View SchemaTwist Deformation of the rank one Lie Superalgebra
| Authors | E. Celeghini, P. P. Kulish |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9712006 |
| URL | https://arxiv.org/abs/q-alg/9712006 |
| DOI | 10.1088/0305-4470/31/4/001 |
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 $SL_\xi(2)$ as subalgebra and Grassmann generators as well.
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"abstract": "The Drinfeld twist is applyed to deforme the rank one orthosymplectic Lie\nsuperalgebra $osp(1|2)$. The twist element is the same as for the $sl(2)$ Lie\nalgebra due to the embedding of the $sl(2)$ into the superalgebra $osp(1|2)$.\nThe R-matrix has the direct sum structure in the irreducible representations of\n$osp(1|2)$. The dual quantum group is defined using the FRT-formalism. It\nincludes the Jordanian quantum group $SL_\\xi(2)$ as subalgebra and Grassmann\ngenerators as well.",
"arxiv_id": "q-alg/9712006",
"authors": [
"E. Celeghini",
"P. P. Kulish"
],
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"doi": "10.1088/0305-4470/31/4/001",
"title": "Twist Deformation of the rank one Lie Superalgebra",
"url": "https://arxiv.org/abs/q-alg/9712006"
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