JournalsprimsVol. 43 , No. 2DOI 10.2977/prims/1201011782

Integration over Compact Quantum Groups

  • Teodor Banica

    Université de Cergy-Pontoise, France
  • Benoît Collins

    Université Claude Bernard Lyon 1, Villeurbanne, France
Integration over Compact Quantum Groups cover

Abstract

We find a combinatorial formula for the Haar functional of the orthogonal and unitary quantum groups. As an application, we consider diagonal coefficients of the fundamental representation, and we investigate their spectral measures.