Real Forms of the Oscillator Quantum Algebra and its Representations
q-alg
2009-10-28 v4 Quantum Algebra
Abstract
We consider the conditions under which the -oscillator algebra becomes a Hopf -algebra. In particular, we show that there are at least two real forms associated with the algebra. Furthermore, through the representations, it is shown that they are related to with different conjugations.
Cite
@article{arxiv.q-alg/9508015,
title = {Real Forms of the Oscillator Quantum Algebra and its Representations},
author = {C H Oh and K Singh},
journal= {arXiv preprint arXiv:q-alg/9508015},
year = {2009}
}
Comments
10 pages, Ams-Tex, To be published in Letters in Mathematical physics