JournalsprimsVol. 28 , No. 1DOI 10.2977/prims/1195168856

Quantum Deformation of Classical Groups

  • Takahiro Hayashi

    Nagoya University, Japan
Quantum Deformation of Classical Groups cover


We construct coordinate algebras of quantum orthogonal, special orthogonal and symplectic groups using M. Jimbo's solutions of the Yang-Baxter equation and determine their Peter-Weyl decompositions. To do this, we study some class of bialgebras and their group-like elements (quantum determinants). A new realization of the universal R-matrix is also given.