Communications in Mathematical Physics

, Volume 207, Issue 3, pp 499–555 | Cite as

Harmonic Analysis on the Quantum Lorentz Group

  • E. Buffenoir
  • Ph. Roche


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.


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Copyright information

© Springer-Verlag Berlin Heidelberg 1999

Authors and Affiliations

  • E. Buffenoir
    • 1
  • Ph. Roche
    • 2
  1. 1.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.frFR
  2. 2.TH Division CERN, 1211 Geneva 23, Switzerland. E-mail: philippe.roche@cern.chCH

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