# On nonlinear angular momentum theories, their representations and associated Hopf structures

@article{Abdesselam1996OnNA, title={On nonlinear angular momentum theories, their representations and associated Hopf structures}, author={Boucif Abdesselam and Jules Beckers and Amitabha Chakrabarti and N.Debergh}, journal={Journal of Physics A}, year={1996}, volume={29}, pages={3075-3088} }

Nonlinear sl(2) algebras subtending generalized angular momentum theories are studied in terms of undeformed generators and bases. We construct their unitary irreducible representations in such a general context. The linear sl(2) case as well as its q-deformation are easily recovered as specific examples. Two other physically interesting applications corresponding to the so-called Higgs and quadratic algebras are also considered. We show that these two nonlinear algebras can be equipped with a…

## 34 Citations

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