Periodic and Flat Irreducible Representations of SU(3)-qq

Mar, 1990
20 pages
Published in:
  • Commun.Math.Phys. 134 (1990) 523-538
Report number:
  • EP-CPT-A960-0390

Citations per year

199119921993199419953120
Abstract: (Springer)
We construct all the periodic irreducible representations ofU(SU(3))q forq am-root of unity. Their dimensions arek(2m)2 fork=1,...,m (onlyk=1,...,m/2 for evenm). Their interest is that they could be a tool to generalize the chiral Potts model. By truncation of these representations, we construct “flat representations” ofU(SU(3))q, in which all the multiplicities of the weights are set to 1.
  • quantum group: SU(3)
  • group theory: representation