On Nonlinear Angular Momentum Theories, Their Representations and Associated Hopf Structures
q-alg
2008-11-26 v2 High Energy Physics - Theory
Quantum Algebra
Abstract
Nonlinear 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 -case as well as its -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.
Cite
@article{arxiv.q-alg/9601001,
title = {On Nonlinear Angular Momentum Theories, Their Representations and Associated Hopf Structures},
author = {B. Abdesselam and J. Beckers and A. Chakrabarti and N. Debergh},
journal= {arXiv preprint arXiv:q-alg/9601001},
year = {2008}
}
Comments
20 pages, Latex, Minor change, to be published in Jour. Phys. A: Math. Gen