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

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dc.creatorAbdesselam, B.
dc.creatorBeckers, J.
dc.creatorChakrabarti, A.
dc.creatorDebergh, N.
dc.date1996-01-02
dc.date1996-06-28
dc.date.accessioned2026-07-07T10:59:02Z
dc.date.available2026-07-07T10:59:02Z
dc.descriptionNonlinear $sl(2)$ 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.
dc.description20 pages, Latex, Minor change, to be published in Jour. Phys. A: Math. Gen
dc.identifierhttps://arxiv.org/abs/q-alg/9601001
dc.identifierhttp://arxiv.org/abs/q-alg/9601001
dc.identifierJ.Phys.A29:3075-3088,1996; Addendum-ibid.A30:5239-5242,1997
dc.identifierdoi:10.1088/0305-4470/29/12/015
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/187315
dc.subjectQuantum Algebra
dc.subjectHigh Energy Physics - Theory
dc.titleOn Nonlinear Angular Momentum Theories, Their Representations and Associated Hopf Structures
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