Communications in Mathematical Physics

, Volume 207, Issue 3, pp 499–555

Harmonic Analysis on the Quantum Lorentz Group

Authors

  • E. Buffenoir
    • Laboratoire de Physique Mathématique et Théorique (Lfaboratoire du CNRS ESA 5032), Université Montpellier 2, Place Eugène Bataillon, 34000 Motpellier, France. E-mail: Buffenoi@lpm.univ-montp2.fr
  • Ph. Roche
    • TH Division CERN, 1211 Geneva 23, Switzerland. E-mail: philippe.roche@cern.ch

DOI: 10.1007/s002200050736

Cite this article as:
Buffenoir, E. & Roche, P. Comm Math Phys (1999) 207: 499. doi:10.1007/s002200050736

Abstract:

Using a continuation of 6j symbols of SUq(2) with complex spins, we give a new description of the unitary representations of SLq(2 ℂ) and find explicit expressions for the characters of unitary representations of SLq(2 ℂ). We prove a Plancherel theorem for the Quantum Lorentz Group.

Copyright information

© Springer-Verlag Berlin Heidelberg 1999