Drinfeld twist for two-parametric deformation of gl(2) and sl(1/2)
Quantum Algebra
2009-10-31 v1
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
Cite
@article{arxiv.math/9807051,
title = {Drinfeld twist for two-parametric deformation of gl(2) and sl(1/2)},
author = {N. Aizawa},
journal= {arXiv preprint arXiv:math/9807051},
year = {2009}
}
Comments
8pages, LaTeX2e, no figures, presented at the 7th Colloquium``Quantum Groups and Integrable Systems'', Prague, 18--20 June 1998