| Thème(s) : |
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| Titre : |
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Introduction to quantum algebras |
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| Auteur : |
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M. Kibler1 |
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| Laboratoire : |
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| Résumé : |
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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. |
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| Type de publication : |
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Communications avec actes |
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Date de publication
ou d'écriture : |
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1993 |
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Nom du périodique
Titre de l'ouvrage : |
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Theoretical Physics: Symmetry and Structural Properties of Condensed Matter |
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| Page/Article : |
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1-24 |
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| Editeur : |
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World Scientific |
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| Nom du colloque : |
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International School Of Theoretical Physics Symmetry And Structural Properties Of Condensed Matter 2 |
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| Ville du colloque : |
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Poznan |
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| Pays du colloque : |
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Pologne |
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| Date du colloque (début) : |
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26/08/1992 |
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| Date du colloque (fin) : |
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02/09/1992 |
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| Identifiant local : |
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LYCEN 9234 |
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| Commentaire : |
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25 pages - Theorie |
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