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arXiv · q-alg/9601001

On Nonlinear Angular Momentum Theories, Their Representations and Associated Hopf Structures

B. Abdesselam·J. Beckers·A. Chakrabarti·N. Debergh
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Abstract

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 Hopf structure.

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B. Abdesselam, J. Beckers, A. Chakrabarti, N. Debergh. 1996-06-28. On Nonlinear Angular Momentum Theories, Their Representations and Associated Hopf Structures. https://doi.org/10.1088/0305-4470%2F29%2F12%2F015

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