# FROM slq(2) TO A PARABOSONIC HOPF ALGEBRA

```@article{Tsujimoto2011FROMST,
title={FROM slq(2) TO A PARABOSONIC HOPF ALGEBRA},
author={Satoshi Tsujimoto and Luc Vinet and Alexei S. Zhedanov},
journal={Symmetry Integrability and Geometry-methods and Applications},
year={2011},
volume={7},
pages={093}
}```
• Published 8 August 2011
• Mathematics
• Symmetry Integrability and Geometry-methods and Applications
A Hopf algebra with four generators among which an involution (reflection) operator, is introduced. The defining relations involve commutators and anticommutators. The discrete series representations are developed. Designated by sl 1(2), this algebra en- compasses the Lie superalgebra osp(1j2). It is obtained as a q = 1 limit of the slq(2) algebra and seen to be equivalent to the parabosonic oscillator algebra in irreducible repre- sentations. It possesses a noncocommutative coproduct. The…
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