A Schurian scheme is an association scheme whose relations are the orbitals of a permutation group acting transitively on the underlying set. More generally, a coherent configuration is Schurian when its relations are the orbitals of a permutation group. The group acts transitively exactly when the coherent configuration is a homogeneous coherent configuration.
Schurian Scheme
See also
Association Scheme, Coherent Configuration, Homogeneous Coherent Configuration, Orbital, Permutation Group, Schurian Coherent Configuration, Schurian Graph, Transitive GroupExplore with Wolfram|Alpha
References
Bannai, E. and Ito, T. Algebraic Combinatorics I: Association Schemes. Menlo Park, CA: Benjamin/Cummings, 1984.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. "Schurian Scheme." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/SchurianScheme.html