English

On two-parameter deformations of $osp(1|2)^(1)$

Quantum Algebra 2007-05-23 v2

Abstract

An elliptic two-parameter deformation of the (universal enveloping superalgebra of) affine Lie superalgebra osp(12)(1)osp(1|2)^{(1)} is proposed in terms of free boson realization. This deformed superalgebra is shown to fit in the framework of infinite Hopf family of superalgebras, a generalization of the infinite Hopf family of algebras proposed earlier by the authors. The trigonometric and rational degenerations are briefly discussed.

Keywords

Cite

@article{arxiv.math/0003040,
  title  = {On two-parameter deformations of $osp(1|2)^(1)$},
  author = {Liu Zhao and Xiang-Mao Ding},
  journal= {arXiv preprint arXiv:math/0003040},
  year   = {2007}
}

Comments

References are added, and one reference is completed. To appear in Lett. Math. Phys

R2 v1 2026-07-22T16:31:38.296Z