HAL : in2p3-00002501, version 1
 arXiv : hep-th/9409012
 Introduction to quantum algebrasKibler M.Dans Theoretical Physics: Symmetry and Structural Properties of Condensed Matter - International School Of Theoretical Physics Symmetry And Structural Properties Of Condensed Matter 2, Poznan : Pologne - http://hal.in2p3.fr/in2p3-00002501
 Physique/Physique des Hautes Energies - Théorie Mathématiques/Algèbres quantiques
Introduction to quantum algebras
M. Kibler1
 1 : IPNL - Institut de Physique Nucléaire de Lyon http://www.ipnl.in2p3.fr/ CNRS : UMR5822 – IN2P3 – Université Claude Bernard - Lyon I (UCBL) France
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.

Communications avec actes
1993
Theoretical Physics: Symmetry and Structural Properties of Condensed Matter
1-24
World Scientific

International School Of Theoretical Physics Symmetry And Structural Properties Of Condensed Matter 2
Poznan
Pologne
26/08/1992
02/09/1992

LYCEN 9234
25 pages - Theorie
 Lien vers le texte intégral : http://fr.arXiv.org/abs/hep-th/9409012
 in2p3-00002501, version 1 http://hal.in2p3.fr/in2p3-00002501 oai:hal.in2p3.fr:in2p3-00002501 Contributeur : Sylvie Florès <> Soumis le : Jeudi 23 Novembre 2006, 11:26:05 Dernière modification le : Jeudi 23 Novembre 2006, 11:41:47