Drinfeld twist for two-parametric deformation of gl(2) and sl(1/2)

Abstract

Drinfeld twist is applied to the Lie algebra gl(2) so that a two-parametric deformation of it is obtained, which is identical to the Jordanian deformation of the gl(2) obtained by Aneva et al. The same twist element is applied to deform the Lie superalgebra sl(1/2), since the gl(2) is embedded into the sl(1/2). By making use of the FRT-formalism, we construct a deformation of the Lie supergroup $SL(1/2).$

8pages, LaTeX2e, no figures, presented at the 7th Colloquium``Quantum Groups and Integrable Systems'', Prague, 18--20 June 1998

References in corpus (6)

• Extended jordanian twists for Lie algebras
• Multiparametric quantum gl(2): Lie bialgebras, quantum R-matrices and non-relativistic limits
• Duality for the Jordanian Matrix Quantum Group $G{L}_{g,h}(2)$
• Twist Deformation of the rank one Lie Superalgebra
• Super-jordanian deformation of the orthosymplectic Lie superalgebras
• Universal R-matrix for esoteric quantum group

Cited by in corpus (4)

• Twist maps for non-standard quantum algebras and discrete Schrodinger symmetries
• Representation Functions for Jordanian Quantum Group SL_h(2) and Jacobi Polynomials
• Symplecton for U_h(sl(2)) and representations of SL_h(2)
• On Drinfel'd twist deformation of the super-Virasoro algebra