A basis relation, also called a basic relation, of a coherent configuration on a finite set 
is one of the binary relations 
, 
, ..., 
in the set partition of
that defines the coherent
configuration. The adjacency matrices of
the basis relations form a vector basis of the adjacency algebra, and their matrix
products are determined by the intersection
numbers.
Basis Relation
See also
Adjacency Algebra, Adjacency Matrix, Association Scheme, Coherent ConfigurationExplore 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. "Basis Relation." From MathWorld--A Wolfram Resource. https://mathworld.wolfram.com/BasisRelation.html