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

Quantum Deformation of Classical Groups

  • Takahiro Hayashi

    Nagoya University, Japan
Quantum Deformation of Classical Groups cover

Abstract

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.