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On Two-Parameter Deformations of osp(1|2)(1) |
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| Authors: | Zhao Liu Ding Xiang-Mao |
| Affiliation: | (1) Institute of Modern Physics, Northwest University, Xian, 710069, P.R. China;(2) Department of Mathematics, University of York, York, YO10 5DD, U.K.;(3) Institute of Applied Mathematics, Academy of Mathematics and Systems Science, Academia Sinica, Beijing, 100080, P.R. China;(4) Institute of Theoretical Physics, Academy of China, Beijing, 100080, P.R. China |
| Abstract: | An elliptic two-parameter deformation of the (universal enveloping superalgebra of) affine Lie superalgebra 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: | elliptic deformation affine Lie superalgebra quantum groups |
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