A ug 2 00 7 Distance-regular graphs of q-Racah type and the q-tetrahedron algebra

@inproceedings{Ito2008AU2,
  title={A ug 2 00 7 Distance-regular graphs of q-Racah type and the q-tetrahedron algebra},
  author={Tatsuro Ito and Paul Terwilliger and D. G. Higman},
  year={2008}
}
In this paper we discuss a relationship between the following two algebras: (i) the subconstituent algebra T of a distance-regular graph that has q-Racah type; (ii) the q-tetrahedron algebra ⊠q which is a q-deformation of the three-point sl2 loop algebra. Assuming that every irreducible T -module is thin, we display an algebra homomorphism from ⊠q into T… CONTINUE READING