Integration over Compact Quantum Groups

  • Teodor Banica

    Université de Cergy-Pontoise, France
  • Benoît Collins

    Université Claude Bernard Lyon 1, Villeurbanne, France


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.

Cite this article

Teodor Banica, Benoît Collins, Integration over Compact Quantum Groups. Publ. Res. Inst. Math. Sci. 43 (2007), no. 2, pp. 277–302

DOI 10.2977/PRIMS/1201011782