Introduction to Quantum Algebras

dc.creatorKibler, Maurice R.
dc.date1994-09-02
dc.date.accessioned2026-07-07T09:14:23Z
dc.date.available2026-07-07T09:14:23Z
dc.descriptionThe 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.
dc.description25 pages
dc.identifierhttps://arxiv.org/abs/hep-th/9409012
dc.identifierhttp://arxiv.org/abs/hep-th/9409012
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/152653
dc.subjectHigh Energy Physics - Theory
dc.subjectQuantum Algebra
dc.titleIntroduction to Quantum Algebras
dc.typetext

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