%0 Journal Article
%T Standard Character Condition for C-algebras
%A J. Bagherian
%A A. Rahnamai Barghi
%J Mathematics
%D 2008
%I arXiv
%X It is well known that the adjacency algebra of an association scheme has the standard character. In this paper we first define the concept of standard character for C-algebras and we say that a C-algebra has the {\it standard character condition} if it has the standard character. Then we investigate some properties of C-algebras which have the standard character condition and prove that under some conditions a C-algebra has an adjacency algebra homomorphic image. In particular, we obtain a necessary and sufficient condition for which a commutative table algebra comes from an association scheme.
%U http://arxiv.org/abs/0803.2423v1