| Domaine : |
 |
|
|
| Titre : |
|
Harmonic Analysis on the quantum Lorentz group |
|
| Auteur(s) : |
|
E. Buffenoir1, 2, Ph. Roche1, 2 |
|
| Laboratoire : |
|
|
|
| Résumé : |
|
This work begins with a review of complexification and realification of Hopf algebras. We emphasize the notion of multiplier Hopf algebras for the description of different classes of functions (compact supported, bounded, unbounded) on complex quantum groups and the construction of the associated left and right Haar measure. Using a continuation of $6j$ symbols of $SU_q (2)$ with complex spins, we give a new description of the unitary representations of $SL_q (2,\CC)_{\RR}$ and find explicit expressions for the characters of $SL_q (2,\CC)_{\RR}$. The major theorem of this article is the Plancherel theorem for the Quantum Lorentz Group. |
|
Langue du texte
intégral : |
|
Anglais |
|
Date de production,
écriture : |
|
18/01/1999 |
|
|
| Journal : |
|
| Communications in Mathematical Physics (Commun. Math. Phys.) |
| Publisher |
Springer Verlag (Germany) |
| ISSN |
0010-3616 (eISSN : 1432-0916) |
|
|
| Audience : |
|
non spécifiée |
|
| Type de publication : |
|
Articles dans des revues avec comité de lecture |
|
| Date de publication : |
|
1999 |
|
| Volume : |
|
207 |
|
| Numéro : |
|
3 |
|
| Page, identifiant, ... : |
|
499-555 |
|
|
| Commentaire : |
|
60 pages, tared gzipped Postscript file, major revision of the previous version, the Plancherel theorem is established in the more general sense and we delay the study of Fusion theory to the next part of this paper |
|
| Référence interne : |
|
06-25 |
|
|
Récupérer au format
