A Schurian scheme is an association scheme whose relations are the orbitals of a transitive permutation group acting on the underlying set. More generally, a coherent configuration is Schurian when its relations are the orbitals of a permutation group. The group is transitive exactly when the coherent configuration is homogeneous.
Schurian Scheme
See also
Association Scheme, 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