Introduction to Quantum Algebras
Abstract
The concept of a quantum algebra is made easy through the investigation of the prototype algebras $u_{qp}(2)$, $su_q(2)$ and $u_{qp}(1,1)$. The latter quantum algebras are introduced as deformations of the corresponding Lie algebras~; this is achieved in a simple way by means of $qp$bosons. The Hopf algebraic structure of $u_{qp}(2)$ is also discussed. The basic ingredients for the representation theory of $u_{qp}(2)$ are given. Finally, in connection with the quantum algebra $u_{qp}(2)$, we discuss the $qp$analogues of the harmonic oscillator and of the (spherical and hyperbolical) angular momenta.
 Publication:

arXiv eprints
 Pub Date:
 September 1994
 arXiv:
 arXiv:hepth/9409012
 Bibcode:
 1994hep.th....9012K
 Keywords:

 High Energy Physics  Theory;
 Mathematics  Quantum Algebra
 EPrint:
 25 pages