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

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

1998-07-10

arxiv.org/abs/math/9807051v1

Czech. J. Phys. Vol.48 (1998) 1273-1278

Mathematics

Quantum Algebra

8pages, LaTeX2e, no figures, presented at the 7th Colloquium``Quantum Groups and Integrable Systems'', Prague, 18--20 June 199

Scientific paper

10.1023/A:1021668130639

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). $

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