Title of article :
THE SMALLEST OCNEANU QUANTUM GROUPOID OF SU(3) TYPE
Author/Authors :
Hammaoui, Dahmane Université Mohammed 1er - Faculté des Sciences - Equipe de Physique Mathématique et Plasmas, Laboratoire de Physique Théorique Physique des Particules et Mod´elisation (LPTPM), Département de Physique, Morocco , Hammaoui, Dahmane Centre de Classes Préparatoires aux Grandes Ecoles d’Ingénieurs -CPR, Morocco
Abstract :
Ocneanu quantum groupoids 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 groupoid of SU(3) type. This small example is interesting to study because it allows to explicitly describe the various structures of the theory.
Keywords :
Coxeter , Dynkin graphs , fusion and graph algebras , module graphs , modular invariants , quantumsymmetries , Ocneanu double triangle algebras
Journal title :
The Arabian Journal for Science and Engineering
Journal title :
The Arabian Journal for Science and Engineering
