On nonlinear angular momentum theories, their representations and associated Hopf structures
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 qdeformation are easily recovered as specific examples. Two other physically interesting applications corresponding to the socalled Higgs and quadratic algebras are also considered. We show that these two nonlinear algebras can be equipped with a Hopf structure.
 Publication:

Journal of Physics A Mathematical General
 Pub Date:
 June 1996
 DOI:
 10.1088/03054470/29/12/015
 arXiv:
 arXiv:qalg/9601001
 Bibcode:
 1996JPhA...29.3075A
 Keywords:

 Mathematics  Quantum Algebra;
 High Energy Physics  Theory
 EPrint:
 20 pages, Latex, Minor change, to be published in Jour. Phys. A: Math. Gen