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

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

2000-03-07

arxiv.org/abs/math/0003040v2

Mathematics

Quantum Algebra

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

Scientific paper

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.

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