A homogeneous coherent configuration is a coherent configuration whose diagonal relation is itself one of its basis relations, rather than a union of several basis relations. Homogeneous coherent configurations are exactly the association schemes (Higman 1975).
Homogeneous Coherent Configuration
See also
Association Scheme, Basis Relation, Coherent Configuration, Diagonal Relation, Schurian SchemeExplore with Wolfram|Alpha
References
Higman, D. G. "Coherent Configurations. I. Ordinary Representation Theory." Geom. Dedicata 4, 1-32, 1975. https://doi.org/10.1007/BF00147398.Cite this as:
Weisstein, Eric W. "Homogeneous Coherent Configuration." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/HomogeneousCoherentConfiguration.html