Super-Jordanian Quantum Superalgebra ${\mathcal{U}}_h(osp(2/1))$

Abstract

A triangular quantum deformation of $osp(2/1)$ from the classical $r$-matrix including an odd generator is presented with its full Hopf algebra structure. The deformation maps, twisting element and tensor operators are considered for the deformed $osp(2/1)$. It is also shown that its subalgebra generated by the Borel subalgebra is self-dual.

arXiv comment18 Pages

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Cited by in corpus (6)

• Jordanian deformations of the AdS_5xS^5 superstring
• A Jordanian deformation of AdS space in type IIB supergravity
• Jordanian Quantum Deformations of D=4 Anti-de-Sitter and Poincare Superalgebras
• Noncommutative Geometry of Super-Jordanian $OS{p}_h(2/1)$ Covariant Quantum Space
• Universal T-matrix, Representations of OSp_q(1/2) and Little Q-Jacobi Polynomials
• On super-Jordanian ${\mathcal{U}}_{\mathsf{h}}(sl(N|1))$ algebra