dorsal/arxiv
View SchemaOn Nonlinear Angular Momentum Theories, Their Representations and Associated Hopf Structures
| Authors | B. Abdesselam, J. Beckers, A. Chakrabarti, N. Debergh |
|---|---|
| Categories | |
| ArXiv ID | q-alg/9601001 |
| URL | https://arxiv.org/abs/q-alg/9601001 |
| DOI | 10.1088/0305-4470/29/12/015 |
| Journal | J.Phys.A29:3075-3088,1996; Addendum-ibid.A30:5239-5242,1997 |
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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"abstract": "Nonlinear $sl(2)$ algebras subtending generalized angular momentum theories\nare studied in terms of undeformed generators and bases. We construct their\nunitary irreducible representations in such a general context. The linear\n$sl(2)$-case as well as its $q$-deformation are easily recovered as specific\nexamples. Two other physically interesting applications corresponding to the\nso-called Higgs and quadratic algebras are also considered. We show that these\ntwo nonlinear algebras can be equipped with a Hopf structure.",
"arxiv_id": "q-alg/9601001",
"authors": [
"B. Abdesselam",
"J. Beckers",
"A. Chakrabarti",
"N. Debergh"
],
"categories": [
"q-alg",
"hep-th",
"math.QA"
],
"doi": "10.1088/0305-4470/29/12/015",
"journal_ref": "J.Phys.A29:3075-3088,1996; Addendum-ibid.A30:5239-5242,1997",
"title": "On Nonlinear Angular Momentum Theories, Their Representations and Associated Hopf Structures",
"url": "https://arxiv.org/abs/q-alg/9601001"
},
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