Mémoires de Fin d’Etudes
Etablissement
Université d’Oran1 - Ahmed Ben Bella
Affiliation
Département de Physique
Auteur
YANALLAH, Abdelkader
Directeur de thèse
ABDESSELAM Boucif (Professeur)
Filière
Physique
Diplôme
Doctorat
Titre
On Jordanian Deformations of Lie algebras and Lie Superalgebras,Contraction Methods and Maps
Mots clés
Quantum Algebra; Hopf (Super)algebra; Jordanian deformation;Irredicible Representation; Contraction procedure; Map Realizations.
Résumé
Our main goal in this thesis is to present one important field among those of quantum groups and quantum deformations of Hopf algebras. In particular our purpose is to give the recent developments in the studies of Jordanian deformations of Lie algebras and superalgebras. We will be concerned by theirs algebraic structures and representations. We are also interested by theirs realizations and in particular with those obtained by contraction procedure from standard universal matrix Rq and leading the non standard universal matrix Rh. This presentation is located in the framework or the programm initiated by B. Abdesselam, A. Chakrabarti et al. [1]-[10].
Date de soutenance
11/05/2008
Cote
TH2655
Pagination
89P.
Format
30 cm
Notes
BIBLIOG.83-88P.ABSTRACT AND KEY WORDS.PUBLICATIONS.
Statut
Soutenue