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Introduction to quantum algebras
Kibler 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