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 ${\mathcal{U}}_q(osp(1|2))$.

arXiv comment9 pages, LaTeX

References in corpus (1)

• Extended jordanian twists for Lie algebras

Cited by in corpus (7)

• Noncommutative Geometry of Super-Jordanian $OS{p}_h(2/1)$ Covariant Quantum Space
• Super-Jordanian Quantum Superalgebra ${\mathcal{U}}_h(osp(2/1))$
• Classical and quantum duality in jordanian quantizations
• Drinfeld twist for two-parametric deformation of gl(2) and sl(1/2)
• Quantum Integrability and Quantum Groups: a special issue in memory of Petr P. Kulish
• On Nonstandard Quantizations of osp(2|1) Superalgebra via Contraction and Mapping
• Jordanian Quantum (Super)Algebras $U_h(g)$ via Contraction Method and Mapping:Review