The smallest ocneanu quantum groupo¨id of SU(3)‎ type

Abstract EN

Ocneanu quantum groupo¨ıds are a type of weak Hopf algebras which can be defined for every Lie group, and are at the core of the study of the quantum symmetries related to higher Coxeter graphs.

In the present paper I analyze the whole theory for this particular type of weak Hopf algebras – or Ocneanu double triangle algebra – in a very simple case: the A1 Ocneanu quantum groupo¨ıd of SU(3) type.

This small example is interesting to study because it allows to explicitly describe the various structures of the theory.